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Finding the Third Proportional to 81,901.13 and 122,730.19

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Solution

The third proportional to 81,901.13 and 122,730.19 is: 183,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,901.13 : 122,730.19 = 122,730.19 : x
  2. Step 2: Convert to fraction form
    81,901.13/122,730.19 = 122,730.19/x
  3. Step 3: Cross multiply
    81,901.13x = 122,730.19 × 122,730.19
  4. Step 4: Simplify right side
    81,901.13x = 15,062,698,923.79
  5. Step 5: Solve for x
    x = 15,062,698,923.79/81,901.13
  6. Step 6: Final answer
    x = 183,913.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.