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Finding the Third Proportional to 387,452 and 836,068

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Solution

The third proportional to 387,452 and 836,068 is: 1,804,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,452 : 836,068 = 836,068 : x
  2. Step 2: Convert to fraction form
    387,452/836,068 = 836,068/x
  3. Step 3: Cross multiply
    387,452x = 836,068 × 836,068
  4. Step 4: Simplify right side
    387,452x = 699,009,700,624
  5. Step 5: Solve for x
    x = 699,009,700,624/387,452
  6. Step 6: Final answer
    x = 1,804,119.48

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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.