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Finding the Third Proportional to 127,136 and 251,080

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Solution

The third proportional to 127,136 and 251,080 is: 495,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,136 : 251,080 = 251,080 : x
  2. Step 2: Convert to fraction form
    127,136/251,080 = 251,080/x
  3. Step 3: Cross multiply
    127,136x = 251,080 × 251,080
  4. Step 4: Simplify right side
    127,136x = 63,041,166,400
  5. Step 5: Solve for x
    x = 63,041,166,400/127,136
  6. Step 6: Final answer
    x = 495,856.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.