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Finding the Third Proportional to 99,590 and 217,828

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Solution

The third proportional to 99,590 and 217,828 is: 476,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,590 : 217,828 = 217,828 : x
  2. Step 2: Convert to fraction form
    99,590/217,828 = 217,828/x
  3. Step 3: Cross multiply
    99,590x = 217,828 × 217,828
  4. Step 4: Simplify right side
    99,590x = 47,449,037,584
  5. Step 5: Solve for x
    x = 47,449,037,584/99,590
  6. Step 6: Final answer
    x = 476,443.80

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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.