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Finding the Third Proportional to 240,179 and 515,972

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Solution

The third proportional to 240,179 and 515,972 is: 1,108,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,179 : 515,972 = 515,972 : x
  2. Step 2: Convert to fraction form
    240,179/515,972 = 515,972/x
  3. Step 3: Cross multiply
    240,179x = 515,972 × 515,972
  4. Step 4: Simplify right side
    240,179x = 266,227,104,784
  5. Step 5: Solve for x
    x = 266,227,104,784/240,179
  6. Step 6: Final answer
    x = 1,108,452.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.