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Finding the Third Proportional to 31,854 and 68,508

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Solution

The third proportional to 31,854 and 68,508 is: 147,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854 : 68,508 = 68,508 : x
  2. Step 2: Convert to fraction form
    31,854/68,508 = 68,508/x
  3. Step 3: Cross multiply
    31,854x = 68,508 × 68,508
  4. Step 4: Simplify right side
    31,854x = 4,693,346,064
  5. Step 5: Solve for x
    x = 4,693,346,064/31,854
  6. Step 6: Final answer
    x = 147,339.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.