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Finding the Third Proportional to 240,136 and 517,514

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Solution

The third proportional to 240,136 and 517,514 is: 1,115,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,136 : 517,514 = 517,514 : x
  2. Step 2: Convert to fraction form
    240,136/517,514 = 517,514/x
  3. Step 3: Cross multiply
    240,136x = 517,514 × 517,514
  4. Step 4: Simplify right side
    240,136x = 267,820,740,196
  5. Step 5: Solve for x
    x = 267,820,740,196/240,136
  6. Step 6: Final answer
    x = 1,115,287.75

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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.