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Finding the Third Proportional to 252,562 and 392,123

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Solution

The third proportional to 252,562 and 392,123 is: 608,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,562 : 392,123 = 392,123 : x
  2. Step 2: Convert to fraction form
    252,562/392,123 = 392,123/x
  3. Step 3: Cross multiply
    252,562x = 392,123 × 392,123
  4. Step 4: Simplify right side
    252,562x = 153,760,447,129
  5. Step 5: Solve for x
    x = 153,760,447,129/252,562
  6. Step 6: Final answer
    x = 608,802.78

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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.