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Finding the Third Proportional to 68,794.31 and 143,830.69

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Solution

The third proportional to 68,794.31 and 143,830.69 is: 300,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,794.31 : 143,830.69 = 143,830.69 : x
  2. Step 2: Convert to fraction form
    68,794.31/143,830.69 = 143,830.69/x
  3. Step 3: Cross multiply
    68,794.31x = 143,830.69 × 143,830.69
  4. Step 4: Simplify right side
    68,794.31x = 20,687,266,666.72
  5. Step 5: Solve for x
    x = 20,687,266,666.72/68,794.31
  6. Step 6: Final answer
    x = 300,711.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.