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Finding the Third Proportional to 34,780 and 52,331

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Solution

The third proportional to 34,780 and 52,331 is: 78,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780 : 52,331 = 52,331 : x
  2. Step 2: Convert to fraction form
    34,780/52,331 = 52,331/x
  3. Step 3: Cross multiply
    34,780x = 52,331 × 52,331
  4. Step 4: Simplify right side
    34,780x = 2,738,533,561
  5. Step 5: Solve for x
    x = 2,738,533,561/34,780
  6. Step 6: Final answer
    x = 78,738.75

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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.