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Finding the Third Proportional to 100,866 and 133,801.50

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Solution

The third proportional to 100,866 and 133,801.50 is: 177,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,866 : 133,801.50 = 133,801.50 : x
  2. Step 2: Convert to fraction form
    100,866/133,801.50 = 133,801.50/x
  3. Step 3: Cross multiply
    100,866x = 133,801.50 × 133,801.50
  4. Step 4: Simplify right side
    100,866x = 17,902,841,402.25
  5. Step 5: Solve for x
    x = 17,902,841,402.25/100,866
  6. Step 6: Final answer
    x = 177,491.34

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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.