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Finding the Third Proportional to 74,398.50 and 172,489.50

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Solution

The third proportional to 74,398.50 and 172,489.50 is: 399,908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,398.50 : 172,489.50 = 172,489.50 : x
  2. Step 2: Convert to fraction form
    74,398.50/172,489.50 = 172,489.50/x
  3. Step 3: Cross multiply
    74,398.50x = 172,489.50 × 172,489.50
  4. Step 4: Simplify right side
    74,398.50x = 29,752,627,610.25
  5. Step 5: Solve for x
    x = 29,752,627,610.25/74,398.50
  6. Step 6: Final answer
    x = 399,908.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.