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Finding the Third Proportional to 56,436 and 84,378.75

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Solution

The third proportional to 56,436 and 84,378.75 is: 126,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,436 : 84,378.75 = 84,378.75 : x
  2. Step 2: Convert to fraction form
    56,436/84,378.75 = 84,378.75/x
  3. Step 3: Cross multiply
    56,436x = 84,378.75 × 84,378.75
  4. Step 4: Simplify right side
    56,436x = 7,119,773,451.56
  5. Step 5: Solve for x
    x = 7,119,773,451.56/56,436
  6. Step 6: Final answer
    x = 126,156.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.