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Finding the Third Proportional to 258,772.50 and 356,337

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Solution

The third proportional to 258,772.50 and 356,337 is: 490,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,772.50 : 356,337 = 356,337 : x
  2. Step 2: Convert to fraction form
    258,772.50/356,337 = 356,337/x
  3. Step 3: Cross multiply
    258,772.50x = 356,337 × 356,337
  4. Step 4: Simplify right side
    258,772.50x = 126,976,057,569
  5. Step 5: Solve for x
    x = 126,976,057,569/258,772.50
  6. Step 6: Final answer
    x = 490,686.06

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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.