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Finding the Third Proportional to 401,439.38 and 587,088

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Solution

The third proportional to 401,439.38 and 587,088 is: 858,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,439.38 : 587,088 = 587,088 : x
  2. Step 2: Convert to fraction form
    401,439.38/587,088 = 587,088/x
  3. Step 3: Cross multiply
    401,439.38x = 587,088 × 587,088
  4. Step 4: Simplify right side
    401,439.38x = 344,672,319,744
  5. Step 5: Solve for x
    x = 344,672,319,744/401,439.38
  6. Step 6: Final answer
    x = 858,591.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.