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Finding the Third Proportional to 140,877 and 288,231.75

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Solution

The third proportional to 140,877 and 288,231.75 is: 589,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,877 : 288,231.75 = 288,231.75 : x
  2. Step 2: Convert to fraction form
    140,877/288,231.75 = 288,231.75/x
  3. Step 3: Cross multiply
    140,877x = 288,231.75 × 288,231.75
  4. Step 4: Simplify right side
    140,877x = 83,077,541,708.06
  5. Step 5: Solve for x
    x = 83,077,541,708.06/140,877
  6. Step 6: Final answer
    x = 589,716.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.