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Finding the Third Proportional to 253,202 and 391,934

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Solution

The third proportional to 253,202 and 391,934 is: 606,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,202 : 391,934 = 391,934 : x
  2. Step 2: Convert to fraction form
    253,202/391,934 = 391,934/x
  3. Step 3: Cross multiply
    253,202x = 391,934 × 391,934
  4. Step 4: Simplify right side
    253,202x = 153,612,260,356
  5. Step 5: Solve for x
    x = 153,612,260,356/253,202
  6. Step 6: Final answer
    x = 606,678.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.