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Finding the Third Proportional to 98,698 and 217,078

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Solution

The third proportional to 98,698 and 217,078 is: 477,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,698 : 217,078 = 217,078 : x
  2. Step 2: Convert to fraction form
    98,698/217,078 = 217,078/x
  3. Step 3: Cross multiply
    98,698x = 217,078 × 217,078
  4. Step 4: Simplify right side
    98,698x = 47,122,858,084
  5. Step 5: Solve for x
    x = 47,122,858,084/98,698
  6. Step 6: Final answer
    x = 477,444.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.