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Finding the Third Proportional to 315,042 and 691,325

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Solution

The third proportional to 315,042 and 691,325 is: 1,517,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,042 : 691,325 = 691,325 : x
  2. Step 2: Convert to fraction form
    315,042/691,325 = 691,325/x
  3. Step 3: Cross multiply
    315,042x = 691,325 × 691,325
  4. Step 4: Simplify right side
    315,042x = 477,930,255,625
  5. Step 5: Solve for x
    x = 477,930,255,625/315,042
  6. Step 6: Final answer
    x = 1,517,036.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.