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Finding the Third Proportional to 57,780 and 91,934

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Solution

The third proportional to 57,780 and 91,934 is: 146,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780 : 91,934 = 91,934 : x
  2. Step 2: Convert to fraction form
    57,780/91,934 = 91,934/x
  3. Step 3: Cross multiply
    57,780x = 91,934 × 91,934
  4. Step 4: Simplify right side
    57,780x = 8,451,860,356
  5. Step 5: Solve for x
    x = 8,451,860,356/57,780
  6. Step 6: Final answer
    x = 146,276.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.