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Finding the Third Proportional to 221,725 and 486,371

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Solution

The third proportional to 221,725 and 486,371 is: 1,066,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,725 : 486,371 = 486,371 : x
  2. Step 2: Convert to fraction form
    221,725/486,371 = 486,371/x
  3. Step 3: Cross multiply
    221,725x = 486,371 × 486,371
  4. Step 4: Simplify right side
    221,725x = 236,556,749,641
  5. Step 5: Solve for x
    x = 236,556,749,641/221,725
  6. Step 6: Final answer
    x = 1,066,892.55

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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.