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Finding the Third Proportional to 101,282 and 218,146

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Solution

The third proportional to 101,282 and 218,146 is: 469,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,282 : 218,146 = 218,146 : x
  2. Step 2: Convert to fraction form
    101,282/218,146 = 218,146/x
  3. Step 3: Cross multiply
    101,282x = 218,146 × 218,146
  4. Step 4: Simplify right side
    101,282x = 47,587,677,316
  5. Step 5: Solve for x
    x = 47,587,677,316/101,282
  6. Step 6: Final answer
    x = 469,853.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.