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Finding the Third Proportional to 421,074 and 647,230

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Solution

The third proportional to 421,074 and 647,230 is: 994,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,074 : 647,230 = 647,230 : x
  2. Step 2: Convert to fraction form
    421,074/647,230 = 647,230/x
  3. Step 3: Cross multiply
    421,074x = 647,230 × 647,230
  4. Step 4: Simplify right side
    421,074x = 418,906,672,900
  5. Step 5: Solve for x
    x = 418,906,672,900/421,074
  6. Step 6: Final answer
    x = 994,852.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.