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Finding the Third Proportional to 99,774 and 217,005

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Solution

The third proportional to 99,774 and 217,005 is: 471,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,774 : 217,005 = 217,005 : x
  2. Step 2: Convert to fraction form
    99,774/217,005 = 217,005/x
  3. Step 3: Cross multiply
    99,774x = 217,005 × 217,005
  4. Step 4: Simplify right side
    99,774x = 47,091,170,025
  5. Step 5: Solve for x
    x = 47,091,170,025/99,774
  6. Step 6: Final answer
    x = 471,978.37

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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.