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Finding the Third Proportional to 78,626 and 164,542

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Solution

The third proportional to 78,626 and 164,542 is: 344,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,626 : 164,542 = 164,542 : x
  2. Step 2: Convert to fraction form
    78,626/164,542 = 164,542/x
  3. Step 3: Cross multiply
    78,626x = 164,542 × 164,542
  4. Step 4: Simplify right side
    78,626x = 27,074,069,764
  5. Step 5: Solve for x
    x = 27,074,069,764/78,626
  6. Step 6: Final answer
    x = 344,339.91

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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.