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Finding the Third Proportional to 421,268 and 927,928

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Solution

The third proportional to 421,268 and 927,928 is: 2,043,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,268 : 927,928 = 927,928 : x
  2. Step 2: Convert to fraction form
    421,268/927,928 = 927,928/x
  3. Step 3: Cross multiply
    421,268x = 927,928 × 927,928
  4. Step 4: Simplify right side
    421,268x = 861,050,373,184
  5. Step 5: Solve for x
    x = 861,050,373,184/421,268
  6. Step 6: Final answer
    x = 2,043,949.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.