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Finding the Third Proportional to 159,661.13 and 221,995.69

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Solution

The third proportional to 159,661.13 and 221,995.69 is: 308,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,661.13 : 221,995.69 = 221,995.69 : x
  2. Step 2: Convert to fraction form
    159,661.13/221,995.69 = 221,995.69/x
  3. Step 3: Cross multiply
    159,661.13x = 221,995.69 × 221,995.69
  4. Step 4: Simplify right side
    159,661.13x = 49,282,085,268.60
  5. Step 5: Solve for x
    x = 49,282,085,268.60/159,661.13
  6. Step 6: Final answer
    x = 308,666.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.