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Finding the Third Proportional to 86,136 and 126,283

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Solution

The third proportional to 86,136 and 126,283 is: 185,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136 : 126,283 = 126,283 : x
  2. Step 2: Convert to fraction form
    86,136/126,283 = 126,283/x
  3. Step 3: Cross multiply
    86,136x = 126,283 × 126,283
  4. Step 4: Simplify right side
    86,136x = 15,947,396,089
  5. Step 5: Solve for x
    x = 15,947,396,089/86,136
  6. Step 6: Final answer
    x = 185,142.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.