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Finding the Third Proportional to 121,234 and 263,451

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Solution

The third proportional to 121,234 and 263,451 is: 572,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,234 : 263,451 = 263,451 : x
  2. Step 2: Convert to fraction form
    121,234/263,451 = 263,451/x
  3. Step 3: Cross multiply
    121,234x = 263,451 × 263,451
  4. Step 4: Simplify right side
    121,234x = 69,406,429,401
  5. Step 5: Solve for x
    x = 69,406,429,401/121,234
  6. Step 6: Final answer
    x = 572,499.71

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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.