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Finding the Third Proportional to 217,648.69 and 290,278.69

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Solution

The third proportional to 217,648.69 and 290,278.69 is: 387,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,648.69 : 290,278.69 = 290,278.69 : x
  2. Step 2: Convert to fraction form
    217,648.69/290,278.69 = 290,278.69/x
  3. Step 3: Cross multiply
    217,648.69x = 290,278.69 × 290,278.69
  4. Step 4: Simplify right side
    217,648.69x = 84,261,716,416.72
  5. Step 5: Solve for x
    x = 84,261,716,416.72/217,648.69
  6. Step 6: Final answer
    x = 387,145.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.