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Finding the Third Proportional to 217,662 and 319,041

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Solution

The third proportional to 217,662 and 319,041 is: 467,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,662 : 319,041 = 319,041 : x
  2. Step 2: Convert to fraction form
    217,662/319,041 = 319,041/x
  3. Step 3: Cross multiply
    217,662x = 319,041 × 319,041
  4. Step 4: Simplify right side
    217,662x = 101,787,159,681
  5. Step 5: Solve for x
    x = 101,787,159,681/217,662
  6. Step 6: Final answer
    x = 467,638.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.