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Finding the Third Proportional to 253,600 and 392,463

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Solution

The third proportional to 253,600 and 392,463 is: 607,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,600 : 392,463 = 392,463 : x
  2. Step 2: Convert to fraction form
    253,600/392,463 = 392,463/x
  3. Step 3: Cross multiply
    253,600x = 392,463 × 392,463
  4. Step 4: Simplify right side
    253,600x = 154,027,206,369
  5. Step 5: Solve for x
    x = 154,027,206,369/253,600
  6. Step 6: Final answer
    x = 607,362.80

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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.