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Finding the Third Proportional to 231,480.28 and 330,382.23

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Solution

The third proportional to 231,480.28 and 330,382.23 is: 471,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,480.28 : 330,382.23 = 330,382.23 : x
  2. Step 2: Convert to fraction form
    231,480.28/330,382.23 = 330,382.23/x
  3. Step 3: Cross multiply
    231,480.28x = 330,382.23 × 330,382.23
  4. Step 4: Simplify right side
    231,480.28x = 109,152,418,209.51
  5. Step 5: Solve for x
    x = 109,152,418,209.51/231,480.28
  6. Step 6: Final answer
    x = 471,540.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.