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Finding the Third Proportional to 221,721 and 486,363

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Solution

The third proportional to 221,721 and 486,363 is: 1,066,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,721 : 486,363 = 486,363 : x
  2. Step 2: Convert to fraction form
    221,721/486,363 = 486,363/x
  3. Step 3: Cross multiply
    221,721x = 486,363 × 486,363
  4. Step 4: Simplify right side
    221,721x = 236,548,967,769
  5. Step 5: Solve for x
    x = 236,548,967,769/221,721
  6. Step 6: Final answer
    x = 1,066,876.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.