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Finding the Third Proportional to 316,944 and 687,629

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Solution

The third proportional to 316,944 and 687,629 is: 1,491,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,944 : 687,629 = 687,629 : x
  2. Step 2: Convert to fraction form
    316,944/687,629 = 687,629/x
  3. Step 3: Cross multiply
    316,944x = 687,629 × 687,629
  4. Step 4: Simplify right side
    316,944x = 472,833,641,641
  5. Step 5: Solve for x
    x = 472,833,641,641/316,944
  6. Step 6: Final answer
    x = 1,491,852.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.