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Finding the Third Proportional to 108,649.69 and 172,883.53

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Solution

The third proportional to 108,649.69 and 172,883.53 is: 275,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,649.69 : 172,883.53 = 172,883.53 : x
  2. Step 2: Convert to fraction form
    108,649.69/172,883.53 = 172,883.53/x
  3. Step 3: Cross multiply
    108,649.69x = 172,883.53 × 172,883.53
  4. Step 4: Simplify right side
    108,649.69x = 29,888,715,377.47
  5. Step 5: Solve for x
    x = 29,888,715,377.47/108,649.69
  6. Step 6: Final answer
    x = 275,092.51

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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.