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Finding the Third Proportional to 276,970 and 452,223

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Solution

The third proportional to 276,970 and 452,223 is: 738,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,970 : 452,223 = 452,223 : x
  2. Step 2: Convert to fraction form
    276,970/452,223 = 452,223/x
  3. Step 3: Cross multiply
    276,970x = 452,223 × 452,223
  4. Step 4: Simplify right side
    276,970x = 204,505,641,729
  5. Step 5: Solve for x
    x = 204,505,641,729/276,970
  6. Step 6: Final answer
    x = 738,367.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.