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Finding the Third Proportional to 100,816 and 214,376

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Solution

The third proportional to 100,816 and 214,376 is: 455,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,816 : 214,376 = 214,376 : x
  2. Step 2: Convert to fraction form
    100,816/214,376 = 214,376/x
  3. Step 3: Cross multiply
    100,816x = 214,376 × 214,376
  4. Step 4: Simplify right side
    100,816x = 45,957,069,376
  5. Step 5: Solve for x
    x = 45,957,069,376/100,816
  6. Step 6: Final answer
    x = 455,850.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.