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Finding the Third Proportional to 316,969 and 687,694

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Solution

The third proportional to 316,969 and 687,694 is: 1,492,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,969 : 687,694 = 687,694 : x
  2. Step 2: Convert to fraction form
    316,969/687,694 = 687,694/x
  3. Step 3: Cross multiply
    316,969x = 687,694 × 687,694
  4. Step 4: Simplify right side
    316,969x = 472,923,037,636
  5. Step 5: Solve for x
    x = 472,923,037,636/316,969
  6. Step 6: Final answer
    x = 1,492,016.69

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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.