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Finding the Third Proportional to 99,586 and 217,820

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Solution

The third proportional to 99,586 and 217,820 is: 476,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,586 : 217,820 = 217,820 : x
  2. Step 2: Convert to fraction form
    99,586/217,820 = 217,820/x
  3. Step 3: Cross multiply
    99,586x = 217,820 × 217,820
  4. Step 4: Simplify right side
    99,586x = 47,445,552,400
  5. Step 5: Solve for x
    x = 47,445,552,400/99,586
  6. Step 6: Final answer
    x = 476,427.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.