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Finding the Third Proportional to 431,319 and 938,214

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Solution

The third proportional to 431,319 and 938,214 is: 2,040,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,319 : 938,214 = 938,214 : x
  2. Step 2: Convert to fraction form
    431,319/938,214 = 938,214/x
  3. Step 3: Cross multiply
    431,319x = 938,214 × 938,214
  4. Step 4: Simplify right side
    431,319x = 880,245,509,796
  5. Step 5: Solve for x
    x = 880,245,509,796/431,319
  6. Step 6: Final answer
    x = 2,040,822.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.