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Finding the Third Proportional to 103,380.75 and 223,710.75

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Solution

The third proportional to 103,380.75 and 223,710.75 is: 484,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,380.75 : 223,710.75 = 223,710.75 : x
  2. Step 2: Convert to fraction form
    103,380.75/223,710.75 = 223,710.75/x
  3. Step 3: Cross multiply
    103,380.75x = 223,710.75 × 223,710.75
  4. Step 4: Simplify right side
    103,380.75x = 50,046,499,665.56
  5. Step 5: Solve for x
    x = 50,046,499,665.56/103,380.75
  6. Step 6: Final answer
    x = 484,098.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.