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Finding the Third Proportional to 100,040 and 213,902

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Solution

The third proportional to 100,040 and 213,902 is: 457,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,040 : 213,902 = 213,902 : x
  2. Step 2: Convert to fraction form
    100,040/213,902 = 213,902/x
  3. Step 3: Cross multiply
    100,040x = 213,902 × 213,902
  4. Step 4: Simplify right side
    100,040x = 45,754,065,604
  5. Step 5: Solve for x
    x = 45,754,065,604/100,040
  6. Step 6: Final answer
    x = 457,357.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.