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Finding the Third Proportional to 294,591 and 639,078

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Solution

The third proportional to 294,591 and 639,078 is: 1,386,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,591 : 639,078 = 639,078 : x
  2. Step 2: Convert to fraction form
    294,591/639,078 = 639,078/x
  3. Step 3: Cross multiply
    294,591x = 639,078 × 639,078
  4. Step 4: Simplify right side
    294,591x = 408,420,690,084
  5. Step 5: Solve for x
    x = 408,420,690,084/294,591
  6. Step 6: Final answer
    x = 1,386,399.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.