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Finding the Third Proportional to 217,091 and 327,905

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Solution

The third proportional to 217,091 and 327,905 is: 495,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,091 : 327,905 = 327,905 : x
  2. Step 2: Convert to fraction form
    217,091/327,905 = 327,905/x
  3. Step 3: Cross multiply
    217,091x = 327,905 × 327,905
  4. Step 4: Simplify right side
    217,091x = 107,521,689,025
  5. Step 5: Solve for x
    x = 107,521,689,025/217,091
  6. Step 6: Final answer
    x = 495,283.95

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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.