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Finding the Third Proportional to 49,780 and 77,700

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Solution

The third proportional to 49,780 and 77,700 is: 121,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,780 : 77,700 = 77,700 : x
  2. Step 2: Convert to fraction form
    49,780/77,700 = 77,700/x
  3. Step 3: Cross multiply
    49,780x = 77,700 × 77,700
  4. Step 4: Simplify right side
    49,780x = 6,037,290,000
  5. Step 5: Solve for x
    x = 6,037,290,000/49,780
  6. Step 6: Final answer
    x = 121,279.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.