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Finding the Third Proportional to 121,223 and 264,478

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Solution

The third proportional to 121,223 and 264,478 is: 577,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,223 : 264,478 = 264,478 : x
  2. Step 2: Convert to fraction form
    121,223/264,478 = 264,478/x
  3. Step 3: Cross multiply
    121,223x = 264,478 × 264,478
  4. Step 4: Simplify right side
    121,223x = 69,948,612,484
  5. Step 5: Solve for x
    x = 69,948,612,484/121,223
  6. Step 6: Final answer
    x = 577,024.27

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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.