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Finding the Third Proportional to 109,419.75 and 156,468.38

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Solution

The third proportional to 109,419.75 and 156,468.38 is: 223,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,419.75 : 156,468.38 = 156,468.38 : x
  2. Step 2: Convert to fraction form
    109,419.75/156,468.38 = 156,468.38/x
  3. Step 3: Cross multiply
    109,419.75x = 156,468.38 × 156,468.38
  4. Step 4: Simplify right side
    109,419.75x = 24,482,352,375.14
  5. Step 5: Solve for x
    x = 24,482,352,375.14/109,419.75
  6. Step 6: Final answer
    x = 223,747.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.