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Finding the Third Proportional to 143,514 and 221,327

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Solution

The third proportional to 143,514 and 221,327 is: 341,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,514 : 221,327 = 221,327 : x
  2. Step 2: Convert to fraction form
    143,514/221,327 = 221,327/x
  3. Step 3: Cross multiply
    143,514x = 221,327 × 221,327
  4. Step 4: Simplify right side
    143,514x = 48,985,640,929
  5. Step 5: Solve for x
    x = 48,985,640,929/143,514
  6. Step 6: Final answer
    x = 341,330.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.