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Finding the Third Proportional to 240,139 and 517,520

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Solution

The third proportional to 240,139 and 517,520 is: 1,115,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,139 : 517,520 = 517,520 : x
  2. Step 2: Convert to fraction form
    240,139/517,520 = 517,520/x
  3. Step 3: Cross multiply
    240,139x = 517,520 × 517,520
  4. Step 4: Simplify right side
    240,139x = 267,826,950,400
  5. Step 5: Solve for x
    x = 267,826,950,400/240,139
  6. Step 6: Final answer
    x = 1,115,299.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.