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Finding the Third Proportional to 68,480 and 108,660

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Solution

The third proportional to 68,480 and 108,660 is: 172,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,480 : 108,660 = 108,660 : x
  2. Step 2: Convert to fraction form
    68,480/108,660 = 108,660/x
  3. Step 3: Cross multiply
    68,480x = 108,660 × 108,660
  4. Step 4: Simplify right side
    68,480x = 11,806,995,600
  5. Step 5: Solve for x
    x = 11,806,995,600/68,480
  6. Step 6: Final answer
    x = 172,415.24

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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.