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Finding the Third Proportional to 316,956 and 431,694

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Solution

The third proportional to 316,956 and 431,694 is: 587,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,956 : 431,694 = 431,694 : x
  2. Step 2: Convert to fraction form
    316,956/431,694 = 431,694/x
  3. Step 3: Cross multiply
    316,956x = 431,694 × 431,694
  4. Step 4: Simplify right side
    316,956x = 186,359,709,636
  5. Step 5: Solve for x
    x = 186,359,709,636/316,956
  6. Step 6: Final answer
    x = 587,967.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.