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Finding the Third Proportional to 251,208 and 538,812

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Solution

The third proportional to 251,208 and 538,812 is: 1,155,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,208 : 538,812 = 538,812 : x
  2. Step 2: Convert to fraction form
    251,208/538,812 = 538,812/x
  3. Step 3: Cross multiply
    251,208x = 538,812 × 538,812
  4. Step 4: Simplify right side
    251,208x = 290,318,371,344
  5. Step 5: Solve for x
    x = 290,318,371,344/251,208
  6. Step 6: Final answer
    x = 1,155,689.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.