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Finding the Third Proportional to 99,972 and 216,549

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Solution

The third proportional to 99,972 and 216,549 is: 469,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,972 : 216,549 = 216,549 : x
  2. Step 2: Convert to fraction form
    99,972/216,549 = 216,549/x
  3. Step 3: Cross multiply
    99,972x = 216,549 × 216,549
  4. Step 4: Simplify right side
    99,972x = 46,893,469,401
  5. Step 5: Solve for x
    x = 46,893,469,401/99,972
  6. Step 6: Final answer
    x = 469,066.03

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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.