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Finding the Third Proportional to 78,463.13 and 100,744.88

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Solution

The third proportional to 78,463.13 and 100,744.88 is: 129,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,463.13 : 100,744.88 = 100,744.88 : x
  2. Step 2: Convert to fraction form
    78,463.13/100,744.88 = 100,744.88/x
  3. Step 3: Cross multiply
    78,463.13x = 100,744.88 × 100,744.88
  4. Step 4: Simplify right side
    78,463.13x = 10,149,529,838.77
  5. Step 5: Solve for x
    x = 10,149,529,838.77/78,463.13
  6. Step 6: Final answer
    x = 129,354.14

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.