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Finding the Third Proportional to 252,802 and 380,805

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Solution

The third proportional to 252,802 and 380,805 is: 573,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,802 : 380,805 = 380,805 : x
  2. Step 2: Convert to fraction form
    252,802/380,805 = 380,805/x
  3. Step 3: Cross multiply
    252,802x = 380,805 × 380,805
  4. Step 4: Simplify right side
    252,802x = 145,012,448,025
  5. Step 5: Solve for x
    x = 145,012,448,025/252,802
  6. Step 6: Final answer
    x = 573,620.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.