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Finding the Third Proportional to 252,564 and 392,126

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Solution

The third proportional to 252,564 and 392,126 is: 608,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,564 : 392,126 = 392,126 : x
  2. Step 2: Convert to fraction form
    252,564/392,126 = 392,126/x
  3. Step 3: Cross multiply
    252,564x = 392,126 × 392,126
  4. Step 4: Simplify right side
    252,564x = 153,762,799,876
  5. Step 5: Solve for x
    x = 153,762,799,876/252,564
  6. Step 6: Final answer
    x = 608,807.27

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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.