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Finding the Third Proportional to 50,470.75 and 78,372

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Solution

The third proportional to 50,470.75 and 78,372 is: 121,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.75 : 78,372 = 78,372 : x
  2. Step 2: Convert to fraction form
    50,470.75/78,372 = 78,372/x
  3. Step 3: Cross multiply
    50,470.75x = 78,372 × 78,372
  4. Step 4: Simplify right side
    50,470.75x = 6,142,170,384
  5. Step 5: Solve for x
    x = 6,142,170,384/50,470.75
  6. Step 6: Final answer
    x = 121,697.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.