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Finding the Third Proportional to 121,236 and 264,498

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Solution

The third proportional to 121,236 and 264,498 is: 577,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,236 : 264,498 = 264,498 : x
  2. Step 2: Convert to fraction form
    121,236/264,498 = 264,498/x
  3. Step 3: Cross multiply
    121,236x = 264,498 × 264,498
  4. Step 4: Simplify right side
    121,236x = 69,959,192,004
  5. Step 5: Solve for x
    x = 69,959,192,004/121,236
  6. Step 6: Final answer
    x = 577,049.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.