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Finding the Third Proportional to 31,431.75 and 63,774.75

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Solution

The third proportional to 31,431.75 and 63,774.75 is: 129,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431.75 : 63,774.75 = 63,774.75 : x
  2. Step 2: Convert to fraction form
    31,431.75/63,774.75 = 63,774.75/x
  3. Step 3: Cross multiply
    31,431.75x = 63,774.75 × 63,774.75
  4. Step 4: Simplify right side
    31,431.75x = 4,067,218,737.56
  5. Step 5: Solve for x
    x = 4,067,218,737.56/31,431.75
  6. Step 6: Final answer
    x = 129,398.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.