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Finding the Third Proportional to 80,838 and 177,567.19

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Solution

The third proportional to 80,838 and 177,567.19 is: 390,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,838 : 177,567.19 = 177,567.19 : x
  2. Step 2: Convert to fraction form
    80,838/177,567.19 = 177,567.19/x
  3. Step 3: Cross multiply
    80,838x = 177,567.19 × 177,567.19
  4. Step 4: Simplify right side
    80,838x = 31,530,106,076.66
  5. Step 5: Solve for x
    x = 31,530,106,076.66/80,838
  6. Step 6: Final answer
    x = 390,040.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.