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Finding the Third Proportional to 267,718.50 and 415,170.56

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Solution

The third proportional to 267,718.50 and 415,170.56 is: 643,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,718.50 : 415,170.56 = 415,170.56 : x
  2. Step 2: Convert to fraction form
    267,718.50/415,170.56 = 415,170.56/x
  3. Step 3: Cross multiply
    267,718.50x = 415,170.56 × 415,170.56
  4. Step 4: Simplify right side
    267,718.50x = 172,366,595,966.57
  5. Step 5: Solve for x
    x = 172,366,595,966.57/267,718.50
  6. Step 6: Final answer
    x = 643,835.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.