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Finding the Third Proportional to 66,909 and 100,930.50

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Solution

The third proportional to 66,909 and 100,930.50 is: 152,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,909 : 100,930.50 = 100,930.50 : x
  2. Step 2: Convert to fraction form
    66,909/100,930.50 = 100,930.50/x
  3. Step 3: Cross multiply
    66,909x = 100,930.50 × 100,930.50
  4. Step 4: Simplify right side
    66,909x = 10,186,965,830.25
  5. Step 5: Solve for x
    x = 10,186,965,830.25/66,909
  6. Step 6: Final answer
    x = 152,251.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.