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Finding the Third Proportional to 338,130 and 522,861

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Solution

The third proportional to 338,130 and 522,861 is: 808,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,130 : 522,861 = 522,861 : x
  2. Step 2: Convert to fraction form
    338,130/522,861 = 522,861/x
  3. Step 3: Cross multiply
    338,130x = 522,861 × 522,861
  4. Step 4: Simplify right side
    338,130x = 273,383,625,321
  5. Step 5: Solve for x
    x = 273,383,625,321/338,130
  6. Step 6: Final answer
    x = 808,516.33

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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.