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Finding the Third Proportional to 68,407 and 108,604

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Solution

The third proportional to 68,407 and 108,604 is: 172,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,407 : 108,604 = 108,604 : x
  2. Step 2: Convert to fraction form
    68,407/108,604 = 108,604/x
  3. Step 3: Cross multiply
    68,407x = 108,604 × 108,604
  4. Step 4: Simplify right side
    68,407x = 11,794,828,816
  5. Step 5: Solve for x
    x = 11,794,828,816/68,407
  6. Step 6: Final answer
    x = 172,421.37

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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.