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Finding the Third Proportional to 81,221 and 124,136

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Solution

The third proportional to 81,221 and 124,136 is: 189,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,221 : 124,136 = 124,136 : x
  2. Step 2: Convert to fraction form
    81,221/124,136 = 124,136/x
  3. Step 3: Cross multiply
    81,221x = 124,136 × 124,136
  4. Step 4: Simplify right side
    81,221x = 15,409,746,496
  5. Step 5: Solve for x
    x = 15,409,746,496/81,221
  6. Step 6: Final answer
    x = 189,726.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.