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Finding the Third Proportional to 315,540.94 and 694,165.69

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Solution

The third proportional to 315,540.94 and 694,165.69 is: 1,527,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,540.94 : 694,165.69 = 694,165.69 : x
  2. Step 2: Convert to fraction form
    315,540.94/694,165.69 = 694,165.69/x
  3. Step 3: Cross multiply
    315,540.94x = 694,165.69 × 694,165.69
  4. Step 4: Simplify right side
    315,540.94x = 481,866,001,702.35
  5. Step 5: Solve for x
    x = 481,866,001,702.35/315,540.94
  6. Step 6: Final answer
    x = 1,527,110.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.