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Finding the Third Proportional to 681,330 and 1,057,976

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Solution

The third proportional to 681,330 and 1,057,976 is: 1,642,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,330 : 1,057,976 = 1,057,976 : x
  2. Step 2: Convert to fraction form
    681,330/1,057,976 = 1,057,976/x
  3. Step 3: Cross multiply
    681,330x = 1,057,976 × 1,057,976
  4. Step 4: Simplify right side
    681,330x = 1,119,313,216,576
  5. Step 5: Solve for x
    x = 1,119,313,216,576/681,330
  6. Step 6: Final answer
    x = 1,642,835.65

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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.