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Finding the Third Proportional to 143,102.25 and 210,279.38

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Solution

The third proportional to 143,102.25 and 210,279.38 is: 308,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,102.25 : 210,279.38 = 210,279.38 : x
  2. Step 2: Convert to fraction form
    143,102.25/210,279.38 = 210,279.38/x
  3. Step 3: Cross multiply
    143,102.25x = 210,279.38 × 210,279.38
  4. Step 4: Simplify right side
    143,102.25x = 44,217,415,550.39
  5. Step 5: Solve for x
    x = 44,217,415,550.39/143,102.25
  6. Step 6: Final answer
    x = 308,991.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.