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Finding the Third Proportional to 80,486 and 127,415

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Solution

The third proportional to 80,486 and 127,415 is: 201,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,486 : 127,415 = 127,415 : x
  2. Step 2: Convert to fraction form
    80,486/127,415 = 127,415/x
  3. Step 3: Cross multiply
    80,486x = 127,415 × 127,415
  4. Step 4: Simplify right side
    80,486x = 16,234,582,225
  5. Step 5: Solve for x
    x = 16,234,582,225/80,486
  6. Step 6: Final answer
    x = 201,706.91

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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.