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Finding the Third Proportional to 217,680.38 and 336,225.38

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Solution

The third proportional to 217,680.38 and 336,225.38 is: 519,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,680.38 : 336,225.38 = 336,225.38 : x
  2. Step 2: Convert to fraction form
    217,680.38/336,225.38 = 336,225.38/x
  3. Step 3: Cross multiply
    217,680.38x = 336,225.38 × 336,225.38
  4. Step 4: Simplify right side
    217,680.38x = 113,047,502,793.89
  5. Step 5: Solve for x
    x = 113,047,502,793.89/217,680.38
  6. Step 6: Final answer
    x = 519,327.95

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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.