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Finding the Third Proportional to 240,098 and 515,188

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Solution

The third proportional to 240,098 and 515,188 is: 1,105,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,098 : 515,188 = 515,188 : x
  2. Step 2: Convert to fraction form
    240,098/515,188 = 515,188/x
  3. Step 3: Cross multiply
    240,098x = 515,188 × 515,188
  4. Step 4: Simplify right side
    240,098x = 265,418,675,344
  5. Step 5: Solve for x
    x = 265,418,675,344/240,098
  6. Step 6: Final answer
    x = 1,105,459.75

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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.