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Finding the Third Proportional to 102,861 and 136,486

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Solution

The third proportional to 102,861 and 136,486 is: 181,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,861 : 136,486 = 136,486 : x
  2. Step 2: Convert to fraction form
    102,861/136,486 = 136,486/x
  3. Step 3: Cross multiply
    102,861x = 136,486 × 136,486
  4. Step 4: Simplify right side
    102,861x = 18,628,428,196
  5. Step 5: Solve for x
    x = 18,628,428,196/102,861
  6. Step 6: Final answer
    x = 181,102.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.