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Finding the Third Proportional to 77,790 and 170,648

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Solution

The third proportional to 77,790 and 170,648 is: 374,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,790 : 170,648 = 170,648 : x
  2. Step 2: Convert to fraction form
    77,790/170,648 = 170,648/x
  3. Step 3: Cross multiply
    77,790x = 170,648 × 170,648
  4. Step 4: Simplify right side
    77,790x = 29,120,739,904
  5. Step 5: Solve for x
    x = 29,120,739,904/77,790
  6. Step 6: Final answer
    x = 374,350.69

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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.