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Finding the Third Proportional to 414,824 and 641,680

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Solution

The third proportional to 414,824 and 641,680 is: 992,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,824 : 641,680 = 641,680 : x
  2. Step 2: Convert to fraction form
    414,824/641,680 = 641,680/x
  3. Step 3: Cross multiply
    414,824x = 641,680 × 641,680
  4. Step 4: Simplify right side
    414,824x = 411,753,222,400
  5. Step 5: Solve for x
    x = 411,753,222,400/414,824
  6. Step 6: Final answer
    x = 992,597.40

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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.