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Finding the Third Proportional to 240,135 and 517,512

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Solution

The third proportional to 240,135 and 517,512 is: 1,115,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,135 : 517,512 = 517,512 : x
  2. Step 2: Convert to fraction form
    240,135/517,512 = 517,512/x
  3. Step 3: Cross multiply
    240,135x = 517,512 × 517,512
  4. Step 4: Simplify right side
    240,135x = 267,818,670,144
  5. Step 5: Solve for x
    x = 267,818,670,144/240,135
  6. Step 6: Final answer
    x = 1,115,283.78

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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.