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Finding the Third Proportional to 215,856 and 335,088

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Solution

The third proportional to 215,856 and 335,088 is: 520,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,856 : 335,088 = 335,088 : x
  2. Step 2: Convert to fraction form
    215,856/335,088 = 335,088/x
  3. Step 3: Cross multiply
    215,856x = 335,088 × 335,088
  4. Step 4: Simplify right side
    215,856x = 112,283,967,744
  5. Step 5: Solve for x
    x = 112,283,967,744/215,856
  6. Step 6: Final answer
    x = 520,179.97

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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.