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Finding the Third Proportional to 694,120 and 1,407,558

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Solution

The third proportional to 694,120 and 1,407,558 is: 2,854,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,120 : 1,407,558 = 1,407,558 : x
  2. Step 2: Convert to fraction form
    694,120/1,407,558 = 1,407,558/x
  3. Step 3: Cross multiply
    694,120x = 1,407,558 × 1,407,558
  4. Step 4: Simplify right side
    694,120x = 1,981,219,523,364
  5. Step 5: Solve for x
    x = 1,981,219,523,364/694,120
  6. Step 6: Final answer
    x = 2,854,289.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.