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Finding the Third Proportional to 80,480.25 and 127,413

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Solution

The third proportional to 80,480.25 and 127,413 is: 201,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,480.25 : 127,413 = 127,413 : x
  2. Step 2: Convert to fraction form
    80,480.25/127,413 = 127,413/x
  3. Step 3: Cross multiply
    80,480.25x = 127,413 × 127,413
  4. Step 4: Simplify right side
    80,480.25x = 16,234,072,569
  5. Step 5: Solve for x
    x = 16,234,072,569/80,480.25
  6. Step 6: Final answer
    x = 201,714.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.