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Finding the Third Proportional to 121,296 and 263,209

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Solution

The third proportional to 121,296 and 263,209 is: 571,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,296 : 263,209 = 263,209 : x
  2. Step 2: Convert to fraction form
    121,296/263,209 = 263,209/x
  3. Step 3: Cross multiply
    121,296x = 263,209 × 263,209
  4. Step 4: Simplify right side
    121,296x = 69,278,977,681
  5. Step 5: Solve for x
    x = 69,278,977,681/121,296
  6. Step 6: Final answer
    x = 571,156.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.