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Finding the Third Proportional to 252,786 and 380,781

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Solution

The third proportional to 252,786 and 380,781 is: 573,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,786 : 380,781 = 380,781 : x
  2. Step 2: Convert to fraction form
    252,786/380,781 = 380,781/x
  3. Step 3: Cross multiply
    252,786x = 380,781 × 380,781
  4. Step 4: Simplify right side
    252,786x = 144,994,169,961
  5. Step 5: Solve for x
    x = 144,994,169,961/252,786
  6. Step 6: Final answer
    x = 573,584.65

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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.