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Finding the Third Proportional to 421,071 and 647,223

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Solution

The third proportional to 421,071 and 647,223 is: 994,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,071 : 647,223 = 647,223 : x
  2. Step 2: Convert to fraction form
    421,071/647,223 = 647,223/x
  3. Step 3: Cross multiply
    421,071x = 647,223 × 647,223
  4. Step 4: Simplify right side
    421,071x = 418,897,611,729
  5. Step 5: Solve for x
    x = 418,897,611,729/421,071
  6. Step 6: Final answer
    x = 994,838.43

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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.