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Finding the Third Proportional to 143,988.75 and 202,678.88

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Solution

The third proportional to 143,988.75 and 202,678.88 is: 285,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,988.75 : 202,678.88 = 202,678.88 : x
  2. Step 2: Convert to fraction form
    143,988.75/202,678.88 = 202,678.88/x
  3. Step 3: Cross multiply
    143,988.75x = 202,678.88 × 202,678.88
  4. Step 4: Simplify right side
    143,988.75x = 41,078,726,371.27
  5. Step 5: Solve for x
    x = 41,078,726,371.27/143,988.75
  6. Step 6: Final answer
    x = 285,291.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.