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Finding the Third Proportional to 31,442 and 68,413

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Solution

The third proportional to 31,442 and 68,413 is: 148,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442 : 68,413 = 68,413 : x
  2. Step 2: Convert to fraction form
    31,442/68,413 = 68,413/x
  3. Step 3: Cross multiply
    31,442x = 68,413 × 68,413
  4. Step 4: Simplify right side
    31,442x = 4,680,338,569
  5. Step 5: Solve for x
    x = 4,680,338,569/31,442
  6. Step 6: Final answer
    x = 148,856.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.