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Finding the Third Proportional to 217,048 and 322,422

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Solution

The third proportional to 217,048 and 322,422 is: 478,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,048 : 322,422 = 322,422 : x
  2. Step 2: Convert to fraction form
    217,048/322,422 = 322,422/x
  3. Step 3: Cross multiply
    217,048x = 322,422 × 322,422
  4. Step 4: Simplify right side
    217,048x = 103,955,946,084
  5. Step 5: Solve for x
    x = 103,955,946,084/217,048
  6. Step 6: Final answer
    x = 478,953.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.