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Finding the Third Proportional to 217,159.88 and 313,279.31

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Solution

The third proportional to 217,159.88 and 313,279.31 is: 451,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,159.88 : 313,279.31 = 313,279.31 : x
  2. Step 2: Convert to fraction form
    217,159.88/313,279.31 = 313,279.31/x
  3. Step 3: Cross multiply
    217,159.88x = 313,279.31 × 313,279.31
  4. Step 4: Simplify right side
    217,159.88x = 98,143,927,640.47
  5. Step 5: Solve for x
    x = 98,143,927,640.47/217,159.88
  6. Step 6: Final answer
    x = 451,943.19

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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.