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Finding the Third Proportional to 77,879.25 and 170,498.25

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Solution

The third proportional to 77,879.25 and 170,498.25 is: 373,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,879.25 : 170,498.25 = 170,498.25 : x
  2. Step 2: Convert to fraction form
    77,879.25/170,498.25 = 170,498.25/x
  3. Step 3: Cross multiply
    77,879.25x = 170,498.25 × 170,498.25
  4. Step 4: Simplify right side
    77,879.25x = 29,069,653,253.06
  5. Step 5: Solve for x
    x = 29,069,653,253.06/77,879.25
  6. Step 6: Final answer
    x = 373,265.71

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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.