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Finding the Third Proportional to 101,278 and 218,132

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Solution

The third proportional to 101,278 and 218,132 is: 469,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,278 : 218,132 = 218,132 : x
  2. Step 2: Convert to fraction form
    101,278/218,132 = 218,132/x
  3. Step 3: Cross multiply
    101,278x = 218,132 × 218,132
  4. Step 4: Simplify right side
    101,278x = 47,581,569,424
  5. Step 5: Solve for x
    x = 47,581,569,424/101,278
  6. Step 6: Final answer
    x = 469,811.50

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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.