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Finding the Third Proportional to 202,079.25 and 311,542.88

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Solution

The third proportional to 202,079.25 and 311,542.88 is: 480,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,079.25 : 311,542.88 = 311,542.88 : x
  2. Step 2: Convert to fraction form
    202,079.25/311,542.88 = 311,542.88/x
  3. Step 3: Cross multiply
    202,079.25x = 311,542.88 × 311,542.88
  4. Step 4: Simplify right side
    202,079.25x = 97,058,962,963.27
  5. Step 5: Solve for x
    x = 97,058,962,963.27/202,079.25
  6. Step 6: Final answer
    x = 480,301.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.