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Finding the Third Proportional to 218,584 and 328,078

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Solution

The third proportional to 218,584 and 328,078 is: 492,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,584 : 328,078 = 328,078 : x
  2. Step 2: Convert to fraction form
    218,584/328,078 = 328,078/x
  3. Step 3: Cross multiply
    218,584x = 328,078 × 328,078
  4. Step 4: Simplify right side
    218,584x = 107,635,174,084
  5. Step 5: Solve for x
    x = 107,635,174,084/218,584
  6. Step 6: Final answer
    x = 492,420.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.