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Finding the Third Proportional to 421,107.75 and 647,928

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Solution

The third proportional to 421,107.75 and 647,928 is: 996,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,107.75 : 647,928 = 647,928 : x
  2. Step 2: Convert to fraction form
    421,107.75/647,928 = 647,928/x
  3. Step 3: Cross multiply
    421,107.75x = 647,928 × 647,928
  4. Step 4: Simplify right side
    421,107.75x = 419,810,693,184
  5. Step 5: Solve for x
    x = 419,810,693,184/421,107.75
  6. Step 6: Final answer
    x = 996,919.89

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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.