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Finding the Third Proportional to 100,278 and 133,110

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Solution

The third proportional to 100,278 and 133,110 is: 176,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,278 : 133,110 = 133,110 : x
  2. Step 2: Convert to fraction form
    100,278/133,110 = 133,110/x
  3. Step 3: Cross multiply
    100,278x = 133,110 × 133,110
  4. Step 4: Simplify right side
    100,278x = 17,718,272,100
  5. Step 5: Solve for x
    x = 17,718,272,100/100,278
  6. Step 6: Final answer
    x = 176,691.52

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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.