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Finding the Third Proportional to 115,132 and 177,620

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Solution

The third proportional to 115,132 and 177,620 is: 274,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,132 : 177,620 = 177,620 : x
  2. Step 2: Convert to fraction form
    115,132/177,620 = 177,620/x
  3. Step 3: Cross multiply
    115,132x = 177,620 × 177,620
  4. Step 4: Simplify right side
    115,132x = 31,548,864,400
  5. Step 5: Solve for x
    x = 31,548,864,400/115,132
  6. Step 6: Final answer
    x = 274,023.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.