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Finding the Third Proportional to 100,314 and 217,906

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Solution

The third proportional to 100,314 and 217,906 is: 473,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,314 : 217,906 = 217,906 : x
  2. Step 2: Convert to fraction form
    100,314/217,906 = 217,906/x
  3. Step 3: Cross multiply
    100,314x = 217,906 × 217,906
  4. Step 4: Simplify right side
    100,314x = 47,483,024,836
  5. Step 5: Solve for x
    x = 47,483,024,836/100,314
  6. Step 6: Final answer
    x = 473,343.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.