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Finding the Third Proportional to 217,095 and 327,911

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Solution

The third proportional to 217,095 and 327,911 is: 495,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,095 : 327,911 = 327,911 : x
  2. Step 2: Convert to fraction form
    217,095/327,911 = 327,911/x
  3. Step 3: Cross multiply
    217,095x = 327,911 × 327,911
  4. Step 4: Simplify right side
    217,095x = 107,525,623,921
  5. Step 5: Solve for x
    x = 107,525,623,921/217,095
  6. Step 6: Final answer
    x = 495,292.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.