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Finding the Third Proportional to 217,671.19 and 336,357.56

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Solution

The third proportional to 217,671.19 and 336,357.56 is: 519,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,671.19 : 336,357.56 = 336,357.56 : x
  2. Step 2: Convert to fraction form
    217,671.19/336,357.56 = 336,357.56/x
  3. Step 3: Cross multiply
    217,671.19x = 336,357.56 × 336,357.56
  4. Step 4: Simplify right side
    217,671.19x = 113,136,409,850.94
  5. Step 5: Solve for x
    x = 113,136,409,850.94/217,671.19
  6. Step 6: Final answer
    x = 519,758.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.