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Finding the Third Proportional to 387,760 and 836,624

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Solution

The third proportional to 387,760 and 836,624 is: 1,805,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,760 : 836,624 = 836,624 : x
  2. Step 2: Convert to fraction form
    387,760/836,624 = 836,624/x
  3. Step 3: Cross multiply
    387,760x = 836,624 × 836,624
  4. Step 4: Simplify right side
    387,760x = 699,939,717,376
  5. Step 5: Solve for x
    x = 699,939,717,376/387,760
  6. Step 6: Final answer
    x = 1,805,084.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.