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Finding the Third Proportional to 100,074.38 and 156,672.56

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Solution

The third proportional to 100,074.38 and 156,672.56 is: 245,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,074.38 : 156,672.56 = 156,672.56 : x
  2. Step 2: Convert to fraction form
    100,074.38/156,672.56 = 156,672.56/x
  3. Step 3: Cross multiply
    100,074.38x = 156,672.56 × 156,672.56
  4. Step 4: Simplify right side
    100,074.38x = 24,546,291,840.32
  5. Step 5: Solve for x
    x = 24,546,291,840.32/100,074.38
  6. Step 6: Final answer
    x = 245,280.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.