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Finding the Third Proportional to 217,834.31 and 336,479.06

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Solution

The third proportional to 217,834.31 and 336,479.06 is: 519,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,834.31 : 336,479.06 = 336,479.06 : x
  2. Step 2: Convert to fraction form
    217,834.31/336,479.06 = 336,479.06/x
  3. Step 3: Cross multiply
    217,834.31x = 336,479.06 × 336,479.06
  4. Step 4: Simplify right side
    217,834.31x = 113,218,159,500.88
  5. Step 5: Solve for x
    x = 113,218,159,500.88/217,834.31
  6. Step 6: Final answer
    x = 519,744.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.