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Finding the Third Proportional to 253,204 and 391,937

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Solution

The third proportional to 253,204 and 391,937 is: 606,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,204 : 391,937 = 391,937 : x
  2. Step 2: Convert to fraction form
    253,204/391,937 = 391,937/x
  3. Step 3: Cross multiply
    253,204x = 391,937 × 391,937
  4. Step 4: Simplify right side
    253,204x = 153,614,611,969
  5. Step 5: Solve for x
    x = 153,614,611,969/253,204
  6. Step 6: Final answer
    x = 606,683.20

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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.