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Finding the Third Proportional to 666,311,938,448 and 1,015,080,148,342

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Solution

The third proportional to 666,311,938,448 and 1,015,080,148,342 is: 1,546,404,391,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,311,938,448 : 1,015,080,148,342 = 1,015,080,148,342 : x
  2. Step 2: Convert to fraction form
    666,311,938,448/1,015,080,148,342 = 1,015,080,148,342/x
  3. Step 3: Cross multiply
    666,311,938,448x = 1,015,080,148,342 × 1,015,080,148,342
  4. Step 4: Simplify right side
    666,311,938,448x = 1,030,387,707,558,016,711,655,424
  5. Step 5: Solve for x
    x = 1,030,387,707,558,016,711,655,424/666,311,938,448
  6. Step 6: Final answer
    x = 1,546,404,391,249.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.