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Finding the Third Proportional to 276,265.13 and 415,422

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Solution

The third proportional to 276,265.13 and 415,422 is: 624,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,265.13 : 415,422 = 415,422 : x
  2. Step 2: Convert to fraction form
    276,265.13/415,422 = 415,422/x
  3. Step 3: Cross multiply
    276,265.13x = 415,422 × 415,422
  4. Step 4: Simplify right side
    276,265.13x = 172,575,438,084
  5. Step 5: Solve for x
    x = 172,575,438,084/276,265.13
  6. Step 6: Final answer
    x = 624,673.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.