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Finding the Third Proportional to 72,150.75 and 105,882.75

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Solution

The third proportional to 72,150.75 and 105,882.75 is: 155,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,150.75 : 105,882.75 = 105,882.75 : x
  2. Step 2: Convert to fraction form
    72,150.75/105,882.75 = 105,882.75/x
  3. Step 3: Cross multiply
    72,150.75x = 105,882.75 × 105,882.75
  4. Step 4: Simplify right side
    72,150.75x = 11,211,156,747.56
  5. Step 5: Solve for x
    x = 11,211,156,747.56/72,150.75
  6. Step 6: Final answer
    x = 155,385.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.