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Finding the Third Proportional to 271,407 and 421,773

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Solution

The third proportional to 271,407 and 421,773 is: 655,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,407 : 421,773 = 421,773 : x
  2. Step 2: Convert to fraction form
    271,407/421,773 = 421,773/x
  3. Step 3: Cross multiply
    271,407x = 421,773 × 421,773
  4. Step 4: Simplify right side
    271,407x = 177,892,463,529
  5. Step 5: Solve for x
    x = 177,892,463,529/271,407
  6. Step 6: Final answer
    x = 655,445.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.