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Finding the Third Proportional to 271,521 and 420,003

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Solution

The third proportional to 271,521 and 420,003 is: 649,682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,521 : 420,003 = 420,003 : x
  2. Step 2: Convert to fraction form
    271,521/420,003 = 420,003/x
  3. Step 3: Cross multiply
    271,521x = 420,003 × 420,003
  4. Step 4: Simplify right side
    271,521x = 176,402,520,009
  5. Step 5: Solve for x
    x = 176,402,520,009/271,521
  6. Step 6: Final answer
    x = 649,682.79

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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.