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Finding the Third Proportional to 68,488 and 108,672

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Solution

The third proportional to 68,488 and 108,672 is: 172,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,488 : 108,672 = 108,672 : x
  2. Step 2: Convert to fraction form
    68,488/108,672 = 108,672/x
  3. Step 3: Cross multiply
    68,488x = 108,672 × 108,672
  4. Step 4: Simplify right side
    68,488x = 11,809,603,584
  5. Step 5: Solve for x
    x = 11,809,603,584/68,488
  6. Step 6: Final answer
    x = 172,433.18

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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.