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Finding the Third Proportional to 681,720 and 1,036,743

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Solution

The third proportional to 681,720 and 1,036,743 is: 1,576,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,720 : 1,036,743 = 1,036,743 : x
  2. Step 2: Convert to fraction form
    681,720/1,036,743 = 1,036,743/x
  3. Step 3: Cross multiply
    681,720x = 1,036,743 × 1,036,743
  4. Step 4: Simplify right side
    681,720x = 1,074,836,048,049
  5. Step 5: Solve for x
    x = 1,074,836,048,049/681,720
  6. Step 6: Final answer
    x = 1,576,653.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.