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Finding the Third Proportional to 99,857 and 217,210

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Solution

The third proportional to 99,857 and 217,210 is: 472,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,857 : 217,210 = 217,210 : x
  2. Step 2: Convert to fraction form
    99,857/217,210 = 217,210/x
  3. Step 3: Cross multiply
    99,857x = 217,210 × 217,210
  4. Step 4: Simplify right side
    99,857x = 47,180,184,100
  5. Step 5: Solve for x
    x = 47,180,184,100/99,857
  6. Step 6: Final answer
    x = 472,477.48

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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.