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Finding the Third Proportional to 81,902.81 and 127,228.22

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Solution

The third proportional to 81,902.81 and 127,228.22 is: 197,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,902.81 : 127,228.22 = 127,228.22 : x
  2. Step 2: Convert to fraction form
    81,902.81/127,228.22 = 127,228.22/x
  3. Step 3: Cross multiply
    81,902.81x = 127,228.22 × 127,228.22
  4. Step 4: Simplify right side
    81,902.81x = 16,187,019,646.30
  5. Step 5: Solve for x
    x = 16,187,019,646.30/81,902.81
  6. Step 6: Final answer
    x = 197,636.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.