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Finding the Third Proportional to 81,332.33 and 121,520.09

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Solution

The third proportional to 81,332.33 and 121,520.09 is: 181,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,332.33 : 121,520.09 = 121,520.09 : x
  2. Step 2: Convert to fraction form
    81,332.33/121,520.09 = 121,520.09/x
  3. Step 3: Cross multiply
    81,332.33x = 121,520.09 × 121,520.09
  4. Step 4: Simplify right side
    81,332.33x = 14,767,132,710.32
  5. Step 5: Solve for x
    x = 14,767,132,710.32/81,332.33
  6. Step 6: Final answer
    x = 181,565.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.