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Finding the Third Proportional to 276,968 and 396,066

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Solution

The third proportional to 276,968 and 396,066 is: 566,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,968 : 396,066 = 396,066 : x
  2. Step 2: Convert to fraction form
    276,968/396,066 = 396,066/x
  3. Step 3: Cross multiply
    276,968x = 396,066 × 396,066
  4. Step 4: Simplify right side
    276,968x = 156,868,276,356
  5. Step 5: Solve for x
    x = 156,868,276,356/276,968
  6. Step 6: Final answer
    x = 566,376.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.