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Finding the Third Proportional to 217,718.25 and 329,859

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Solution

The third proportional to 217,718.25 and 329,859 is: 499,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,718.25 : 329,859 = 329,859 : x
  2. Step 2: Convert to fraction form
    217,718.25/329,859 = 329,859/x
  3. Step 3: Cross multiply
    217,718.25x = 329,859 × 329,859
  4. Step 4: Simplify right side
    217,718.25x = 108,806,959,881
  5. Step 5: Solve for x
    x = 108,806,959,881/217,718.25
  6. Step 6: Final answer
    x = 499,760.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.