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Finding the Third Proportional to 100,280 and 213,670

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Solution

The third proportional to 100,280 and 213,670 is: 455,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,280 : 213,670 = 213,670 : x
  2. Step 2: Convert to fraction form
    100,280/213,670 = 213,670/x
  3. Step 3: Cross multiply
    100,280x = 213,670 × 213,670
  4. Step 4: Simplify right side
    100,280x = 45,654,868,900
  5. Step 5: Solve for x
    x = 45,654,868,900/100,280
  6. Step 6: Final answer
    x = 455,273.92

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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.