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Finding the Third Proportional to 124,821 and 269,322

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Solution

The third proportional to 124,821 and 269,322 is: 581,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,821 : 269,322 = 269,322 : x
  2. Step 2: Convert to fraction form
    124,821/269,322 = 269,322/x
  3. Step 3: Cross multiply
    124,821x = 269,322 × 269,322
  4. Step 4: Simplify right side
    124,821x = 72,534,339,684
  5. Step 5: Solve for x
    x = 72,534,339,684/124,821
  6. Step 6: Final answer
    x = 581,106.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.