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Finding the Third Proportional to 276,007.50 and 415,395

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Solution

The third proportional to 276,007.50 and 415,395 is: 625,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,007.50 : 415,395 = 415,395 : x
  2. Step 2: Convert to fraction form
    276,007.50/415,395 = 415,395/x
  3. Step 3: Cross multiply
    276,007.50x = 415,395 × 415,395
  4. Step 4: Simplify right side
    276,007.50x = 172,553,006,025
  5. Step 5: Solve for x
    x = 172,553,006,025/276,007.50
  6. Step 6: Final answer
    x = 625,175.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.