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Finding the Third Proportional to 258,761.25 and 356,320.13

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Solution

The third proportional to 258,761.25 and 356,320.13 is: 490,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,761.25 : 356,320.13 = 356,320.13 : x
  2. Step 2: Convert to fraction form
    258,761.25/356,320.13 = 356,320.13/x
  3. Step 3: Cross multiply
    258,761.25x = 356,320.13 × 356,320.13
  4. Step 4: Simplify right side
    258,761.25x = 126,964,031,480.02
  5. Step 5: Solve for x
    x = 126,964,031,480.02/258,761.25
  6. Step 6: Final answer
    x = 490,660.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.