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Finding the Third Proportional to 99,335 and 216,517

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Solution

The third proportional to 99,335 and 216,517 is: 471,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,335 : 216,517 = 216,517 : x
  2. Step 2: Convert to fraction form
    99,335/216,517 = 216,517/x
  3. Step 3: Cross multiply
    99,335x = 216,517 × 216,517
  4. Step 4: Simplify right side
    99,335x = 46,879,611,289
  5. Step 5: Solve for x
    x = 46,879,611,289/99,335
  6. Step 6: Final answer
    x = 471,934.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.