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Finding the Third Proportional to 341,611,777,442 and 711,498,559,396

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Solution

The third proportional to 341,611,777,442 and 711,498,559,396 is: 1,481,887,433,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,611,777,442 : 711,498,559,396 = 711,498,559,396 : x
  2. Step 2: Convert to fraction form
    341,611,777,442/711,498,559,396 = 711,498,559,396/x
  3. Step 3: Cross multiply
    341,611,777,442x = 711,498,559,396 × 711,498,559,396
  4. Step 4: Simplify right side
    341,611,777,442x = 506,230,200,022,583,354,589,184
  5. Step 5: Solve for x
    x = 506,230,200,022,583,354,589,184/341,611,777,442
  6. Step 6: Final answer
    x = 1,481,887,433,194.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.