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Finding the Third Proportional to 42,768 and 102,902.91

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Solution

The third proportional to 42,768 and 102,902.91 is: 247,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,768 : 102,902.91 = 102,902.91 : x
  2. Step 2: Convert to fraction form
    42,768/102,902.91 = 102,902.91/x
  3. Step 3: Cross multiply
    42,768x = 102,902.91 × 102,902.91
  4. Step 4: Simplify right side
    42,768x = 10,589,008,114.70
  5. Step 5: Solve for x
    x = 10,589,008,114.70/42,768
  6. Step 6: Final answer
    x = 247,591.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.