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Finding the Third Proportional to 240,691 and 515,539

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Solution

The third proportional to 240,691 and 515,539 is: 1,104,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,691 : 515,539 = 515,539 : x
  2. Step 2: Convert to fraction form
    240,691/515,539 = 515,539/x
  3. Step 3: Cross multiply
    240,691x = 515,539 × 515,539
  4. Step 4: Simplify right side
    240,691x = 265,780,460,521
  5. Step 5: Solve for x
    x = 265,780,460,521/240,691
  6. Step 6: Final answer
    x = 1,104,239.30

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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.