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Finding the Third Proportional to 99,792 and 215,136

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Solution

The third proportional to 99,792 and 215,136 is: 463,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,792 : 215,136 = 215,136 : x
  2. Step 2: Convert to fraction form
    99,792/215,136 = 215,136/x
  3. Step 3: Cross multiply
    99,792x = 215,136 × 215,136
  4. Step 4: Simplify right side
    99,792x = 46,283,498,496
  5. Step 5: Solve for x
    x = 46,283,498,496/99,792
  6. Step 6: Final answer
    x = 463,799.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.