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Finding the Third Proportional to 252,557 and 392,115

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Solution

The third proportional to 252,557 and 392,115 is: 608,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,557 : 392,115 = 392,115 : x
  2. Step 2: Convert to fraction form
    252,557/392,115 = 392,115/x
  3. Step 3: Cross multiply
    252,557x = 392,115 × 392,115
  4. Step 4: Simplify right side
    252,557x = 153,754,173,225
  5. Step 5: Solve for x
    x = 153,754,173,225/252,557
  6. Step 6: Final answer
    x = 608,789.99

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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.