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Finding the Third Proportional to 77,791.50 and 170,643

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Solution

The third proportional to 77,791.50 and 170,643 is: 374,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,791.50 : 170,643 = 170,643 : x
  2. Step 2: Convert to fraction form
    77,791.50/170,643 = 170,643/x
  3. Step 3: Cross multiply
    77,791.50x = 170,643 × 170,643
  4. Step 4: Simplify right side
    77,791.50x = 29,119,033,449
  5. Step 5: Solve for x
    x = 29,119,033,449/77,791.50
  6. Step 6: Final answer
    x = 374,321.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.