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Finding the Third Proportional to 240,136.50 and 517,515

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Solution

The third proportional to 240,136.50 and 517,515 is: 1,115,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,136.50 : 517,515 = 517,515 : x
  2. Step 2: Convert to fraction form
    240,136.50/517,515 = 517,515/x
  3. Step 3: Cross multiply
    240,136.50x = 517,515 × 517,515
  4. Step 4: Simplify right side
    240,136.50x = 267,821,775,225
  5. Step 5: Solve for x
    x = 267,821,775,225/240,136.50
  6. Step 6: Final answer
    x = 1,115,289.74

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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.