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Finding the Third Proportional to 400,716 and 871,380

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Solution

The third proportional to 400,716 and 871,380 is: 1,894,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,716 : 871,380 = 871,380 : x
  2. Step 2: Convert to fraction form
    400,716/871,380 = 871,380/x
  3. Step 3: Cross multiply
    400,716x = 871,380 × 871,380
  4. Step 4: Simplify right side
    400,716x = 759,303,104,400
  5. Step 5: Solve for x
    x = 759,303,104,400/400,716
  6. Step 6: Final answer
    x = 1,894,865.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.