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Finding the Third Proportional to 286,854.75 and 447,744

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Solution

The third proportional to 286,854.75 and 447,744 is: 698,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,854.75 : 447,744 = 447,744 : x
  2. Step 2: Convert to fraction form
    286,854.75/447,744 = 447,744/x
  3. Step 3: Cross multiply
    286,854.75x = 447,744 × 447,744
  4. Step 4: Simplify right side
    286,854.75x = 200,474,689,536
  5. Step 5: Solve for x
    x = 200,474,689,536/286,854.75
  6. Step 6: Final answer
    x = 698,871.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.