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Finding the Third Proportional to 111,450 and 217,319

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Solution

The third proportional to 111,450 and 217,319 is: 423,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,450 : 217,319 = 217,319 : x
  2. Step 2: Convert to fraction form
    111,450/217,319 = 217,319/x
  3. Step 3: Cross multiply
    111,450x = 217,319 × 217,319
  4. Step 4: Simplify right side
    111,450x = 47,227,547,761
  5. Step 5: Solve for x
    x = 47,227,547,761/111,450
  6. Step 6: Final answer
    x = 423,755.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.