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Finding the Third Proportional to 81,164.25 and 177,895.13

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Solution

The third proportional to 81,164.25 and 177,895.13 is: 389,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,164.25 : 177,895.13 = 177,895.13 : x
  2. Step 2: Convert to fraction form
    81,164.25/177,895.13 = 177,895.13/x
  3. Step 3: Cross multiply
    81,164.25x = 177,895.13 × 177,895.13
  4. Step 4: Simplify right side
    81,164.25x = 31,646,675,498.77
  5. Step 5: Solve for x
    x = 31,646,675,498.77/81,164.25
  6. Step 6: Final answer
    x = 389,909.05

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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.