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Finding the Third Proportional to 639,287.44 and 1,065,342.38

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Solution

The third proportional to 639,287.44 and 1,065,342.38 is: 1,775,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,287.44 : 1,065,342.38 = 1,065,342.38 : x
  2. Step 2: Convert to fraction form
    639,287.44/1,065,342.38 = 1,065,342.38/x
  3. Step 3: Cross multiply
    639,287.44x = 1,065,342.38 × 1,065,342.38
  4. Step 4: Simplify right side
    639,287.44x = 1,134,954,375,970.64
  5. Step 5: Solve for x
    x = 1,134,954,375,970.64/639,287.44
  6. Step 6: Final answer
    x = 1,775,342.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.