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Finding the Third Proportional to 42,049.13 and 66,890.81

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Solution

The third proportional to 42,049.13 and 66,890.81 is: 106,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,049.13 : 66,890.81 = 66,890.81 : x
  2. Step 2: Convert to fraction form
    42,049.13/66,890.81 = 66,890.81/x
  3. Step 3: Cross multiply
    42,049.13x = 66,890.81 × 66,890.81
  4. Step 4: Simplify right side
    42,049.13x = 4,474,380,796.91
  5. Step 5: Solve for x
    x = 4,474,380,796.91/42,049.13
  6. Step 6: Final answer
    x = 106,408.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.