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Finding the Third Proportional to 217,156.50 and 313,278

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Solution

The third proportional to 217,156.50 and 313,278 is: 451,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,156.50 : 313,278 = 313,278 : x
  2. Step 2: Convert to fraction form
    217,156.50/313,278 = 313,278/x
  3. Step 3: Cross multiply
    217,156.50x = 313,278 × 313,278
  4. Step 4: Simplify right side
    217,156.50x = 98,143,105,284
  5. Step 5: Solve for x
    x = 98,143,105,284/217,156.50
  6. Step 6: Final answer
    x = 451,946.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.