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Finding the Third Proportional to 143,079.75 and 310,763.25

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Solution

The third proportional to 143,079.75 and 310,763.25 is: 674,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,079.75 : 310,763.25 = 310,763.25 : x
  2. Step 2: Convert to fraction form
    143,079.75/310,763.25 = 310,763.25/x
  3. Step 3: Cross multiply
    143,079.75x = 310,763.25 × 310,763.25
  4. Step 4: Simplify right side
    143,079.75x = 96,573,797,550.56
  5. Step 5: Solve for x
    x = 96,573,797,550.56/143,079.75
  6. Step 6: Final answer
    x = 674,964.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.