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Finding the Third Proportional to 80,478 and 127,405

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Solution

The third proportional to 80,478 and 127,405 is: 201,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,478 : 127,405 = 127,405 : x
  2. Step 2: Convert to fraction form
    80,478/127,405 = 127,405/x
  3. Step 3: Cross multiply
    80,478x = 127,405 × 127,405
  4. Step 4: Simplify right side
    80,478x = 16,232,034,025
  5. Step 5: Solve for x
    x = 16,232,034,025/80,478
  6. Step 6: Final answer
    x = 201,695.30

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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.