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Finding the Third Proportional to 100,704 and 216,864

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Solution

The third proportional to 100,704 and 216,864 is: 467,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,704 : 216,864 = 216,864 : x
  2. Step 2: Convert to fraction form
    100,704/216,864 = 216,864/x
  3. Step 3: Cross multiply
    100,704x = 216,864 × 216,864
  4. Step 4: Simplify right side
    100,704x = 47,029,994,496
  5. Step 5: Solve for x
    x = 47,029,994,496/100,704
  6. Step 6: Final answer
    x = 467,012.18

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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.