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Finding the Third Proportional to 253,606 and 392,487

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Solution

The third proportional to 253,606 and 392,487 is: 607,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,606 : 392,487 = 392,487 : x
  2. Step 2: Convert to fraction form
    253,606/392,487 = 392,487/x
  3. Step 3: Cross multiply
    253,606x = 392,487 × 392,487
  4. Step 4: Simplify right side
    253,606x = 154,046,045,169
  5. Step 5: Solve for x
    x = 154,046,045,169/253,606
  6. Step 6: Final answer
    x = 607,422.72

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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.