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Finding the Third Proportional to 217,078.88 and 335,463.19

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Solution

The third proportional to 217,078.88 and 335,463.19 is: 518,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,078.88 : 335,463.19 = 335,463.19 : x
  2. Step 2: Convert to fraction form
    217,078.88/335,463.19 = 335,463.19/x
  3. Step 3: Cross multiply
    217,078.88x = 335,463.19 × 335,463.19
  4. Step 4: Simplify right side
    217,078.88x = 112,535,550,167.66
  5. Step 5: Solve for x
    x = 112,535,550,167.66/217,078.88
  6. Step 6: Final answer
    x = 518,408.57

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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.