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Finding the Third Proportional to 438,384 and 942,279

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Solution

The third proportional to 438,384 and 942,279 is: 2,025,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,384 : 942,279 = 942,279 : x
  2. Step 2: Convert to fraction form
    438,384/942,279 = 942,279/x
  3. Step 3: Cross multiply
    438,384x = 942,279 × 942,279
  4. Step 4: Simplify right side
    438,384x = 887,889,713,841
  5. Step 5: Solve for x
    x = 887,889,713,841/438,384
  6. Step 6: Final answer
    x = 2,025,369.80

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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.