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Finding the Third Proportional to 81,094 and 129,136

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Solution

The third proportional to 81,094 and 129,136 is: 205,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,094 : 129,136 = 129,136 : x
  2. Step 2: Convert to fraction form
    81,094/129,136 = 129,136/x
  3. Step 3: Cross multiply
    81,094x = 129,136 × 129,136
  4. Step 4: Simplify right side
    81,094x = 16,676,106,496
  5. Step 5: Solve for x
    x = 16,676,106,496/81,094
  6. Step 6: Final answer
    x = 205,639.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.