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Finding the Third Proportional to 203,764 and 314,879

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Solution

The third proportional to 203,764 and 314,879 is: 486,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,764 : 314,879 = 314,879 : x
  2. Step 2: Convert to fraction form
    203,764/314,879 = 314,879/x
  3. Step 3: Cross multiply
    203,764x = 314,879 × 314,879
  4. Step 4: Simplify right side
    203,764x = 99,148,784,641
  5. Step 5: Solve for x
    x = 99,148,784,641/203,764
  6. Step 6: Final answer
    x = 486,586.37

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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.