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Finding the Third Proportional to 82,136 and 127,432

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Solution

The third proportional to 82,136 and 127,432 is: 197,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,136 : 127,432 = 127,432 : x
  2. Step 2: Convert to fraction form
    82,136/127,432 = 127,432/x
  3. Step 3: Cross multiply
    82,136x = 127,432 × 127,432
  4. Step 4: Simplify right side
    82,136x = 16,238,914,624
  5. Step 5: Solve for x
    x = 16,238,914,624/82,136
  6. Step 6: Final answer
    x = 197,707.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.