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Finding the Third Proportional to 115,932 and 244,315.50

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Solution

The third proportional to 115,932 and 244,315.50 is: 514,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,932 : 244,315.50 = 244,315.50 : x
  2. Step 2: Convert to fraction form
    115,932/244,315.50 = 244,315.50/x
  3. Step 3: Cross multiply
    115,932x = 244,315.50 × 244,315.50
  4. Step 4: Simplify right side
    115,932x = 59,690,063,540.25
  5. Step 5: Solve for x
    x = 59,690,063,540.25/115,932
  6. Step 6: Final answer
    x = 514,871.33

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.