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Finding the Third Proportional to 101,977 and 218,716

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Solution

The third proportional to 101,977 and 218,716 is: 469,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,977 : 218,716 = 218,716 : x
  2. Step 2: Convert to fraction form
    101,977/218,716 = 218,716/x
  3. Step 3: Cross multiply
    101,977x = 218,716 × 218,716
  4. Step 4: Simplify right side
    101,977x = 47,836,688,656
  5. Step 5: Solve for x
    x = 47,836,688,656/101,977
  6. Step 6: Final answer
    x = 469,092.92

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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.