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Finding the Third Proportional to 223,981 and 487,327

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Solution

The third proportional to 223,981 and 487,327 is: 1,060,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,981 : 487,327 = 487,327 : x
  2. Step 2: Convert to fraction form
    223,981/487,327 = 487,327/x
  3. Step 3: Cross multiply
    223,981x = 487,327 × 487,327
  4. Step 4: Simplify right side
    223,981x = 237,487,604,929
  5. Step 5: Solve for x
    x = 237,487,604,929/223,981
  6. Step 6: Final answer
    x = 1,060,302.46

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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.