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Finding the Third Proportional to 30,917 and 49,780

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Solution

The third proportional to 30,917 and 49,780 is: 80,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917 : 49,780 = 49,780 : x
  2. Step 2: Convert to fraction form
    30,917/49,780 = 49,780/x
  3. Step 3: Cross multiply
    30,917x = 49,780 × 49,780
  4. Step 4: Simplify right side
    30,917x = 2,478,048,400
  5. Step 5: Solve for x
    x = 2,478,048,400/30,917
  6. Step 6: Final answer
    x = 80,151.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.