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Finding the Third Proportional to 428,624 and 646,824

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Solution

The third proportional to 428,624 and 646,824 is: 976,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,624 : 646,824 = 646,824 : x
  2. Step 2: Convert to fraction form
    428,624/646,824 = 646,824/x
  3. Step 3: Cross multiply
    428,624x = 646,824 × 646,824
  4. Step 4: Simplify right side
    428,624x = 418,381,286,976
  5. Step 5: Solve for x
    x = 418,381,286,976/428,624
  6. Step 6: Final answer
    x = 976,103.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.