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Finding the Third Proportional to 98,774 and 217,324

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Solution

The third proportional to 98,774 and 217,324 is: 478,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774 : 217,324 = 217,324 : x
  2. Step 2: Convert to fraction form
    98,774/217,324 = 217,324/x
  3. Step 3: Cross multiply
    98,774x = 217,324 × 217,324
  4. Step 4: Simplify right side
    98,774x = 47,229,720,976
  5. Step 5: Solve for x
    x = 47,229,720,976/98,774
  6. Step 6: Final answer
    x = 478,159.44

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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.