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Finding the Third Proportional to 99,792 and 216,864

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Solution

The third proportional to 99,792 and 216,864 is: 471,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,792 : 216,864 = 216,864 : x
  2. Step 2: Convert to fraction form
    99,792/216,864 = 216,864/x
  3. Step 3: Cross multiply
    99,792x = 216,864 × 216,864
  4. Step 4: Simplify right side
    99,792x = 47,029,994,496
  5. Step 5: Solve for x
    x = 47,029,994,496/99,792
  6. Step 6: Final answer
    x = 471,280.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.