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Finding the Third Proportional to 316,954 and 431,691

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Solution

The third proportional to 316,954 and 431,691 is: 587,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,954 : 431,691 = 431,691 : x
  2. Step 2: Convert to fraction form
    316,954/431,691 = 431,691/x
  3. Step 3: Cross multiply
    316,954x = 431,691 × 431,691
  4. Step 4: Simplify right side
    316,954x = 186,357,119,481
  5. Step 5: Solve for x
    x = 186,357,119,481/316,954
  6. Step 6: Final answer
    x = 587,962.67

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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.