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Finding the Third Proportional to 221,466 and 519,927

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Solution

The third proportional to 221,466 and 519,927 is: 1,220,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,466 : 519,927 = 519,927 : x
  2. Step 2: Convert to fraction form
    221,466/519,927 = 519,927/x
  3. Step 3: Cross multiply
    221,466x = 519,927 × 519,927
  4. Step 4: Simplify right side
    221,466x = 270,324,085,329
  5. Step 5: Solve for x
    x = 270,324,085,329/221,466
  6. Step 6: Final answer
    x = 1,220,612.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.