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Finding the Third Proportional to 66,899.25 and 100,355.63

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Solution

The third proportional to 66,899.25 and 100,355.63 is: 150,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,899.25 : 100,355.63 = 100,355.63 : x
  2. Step 2: Convert to fraction form
    66,899.25/100,355.63 = 100,355.63/x
  3. Step 3: Cross multiply
    66,899.25x = 100,355.63 × 100,355.63
  4. Step 4: Simplify right side
    66,899.25x = 10,071,251,469.14
  5. Step 5: Solve for x
    x = 10,071,251,469.14/66,899.25
  6. Step 6: Final answer
    x = 150,543.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.