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Finding the Third Proportional to 100,851 and 133,780

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Solution

The third proportional to 100,851 and 133,780 is: 177,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,851 : 133,780 = 133,780 : x
  2. Step 2: Convert to fraction form
    100,851/133,780 = 133,780/x
  3. Step 3: Cross multiply
    100,851x = 133,780 × 133,780
  4. Step 4: Simplify right side
    100,851x = 17,897,088,400
  5. Step 5: Solve for x
    x = 17,897,088,400/100,851
  6. Step 6: Final answer
    x = 177,460.69

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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.