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Finding the Third Proportional to 438,642 and 942,555

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Solution

The third proportional to 438,642 and 942,555 is: 2,025,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,642 : 942,555 = 942,555 : x
  2. Step 2: Convert to fraction form
    438,642/942,555 = 942,555/x
  3. Step 3: Cross multiply
    438,642x = 942,555 × 942,555
  4. Step 4: Simplify right side
    438,642x = 888,409,928,025
  5. Step 5: Solve for x
    x = 888,409,928,025/438,642
  6. Step 6: Final answer
    x = 2,025,364.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.