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Finding the Third Proportional to 666,238 and 874,716

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Solution

The third proportional to 666,238 and 874,716 is: 1,148,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,238 : 874,716 = 874,716 : x
  2. Step 2: Convert to fraction form
    666,238/874,716 = 874,716/x
  3. Step 3: Cross multiply
    666,238x = 874,716 × 874,716
  4. Step 4: Simplify right side
    666,238x = 765,128,080,656
  5. Step 5: Solve for x
    x = 765,128,080,656/666,238
  6. Step 6: Final answer
    x = 1,148,430.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.