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Finding the Third Proportional to 77,780 and 171,112

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Solution

The third proportional to 77,780 and 171,112 is: 376,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,780 : 171,112 = 171,112 : x
  2. Step 2: Convert to fraction form
    77,780/171,112 = 171,112/x
  3. Step 3: Cross multiply
    77,780x = 171,112 × 171,112
  4. Step 4: Simplify right side
    77,780x = 29,279,316,544
  5. Step 5: Solve for x
    x = 29,279,316,544/77,780
  6. Step 6: Final answer
    x = 376,437.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.