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Finding the Third Proportional to 401,590 and 836,474

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Solution

The third proportional to 401,590 and 836,474 is: 1,742,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,590 : 836,474 = 836,474 : x
  2. Step 2: Convert to fraction form
    401,590/836,474 = 836,474/x
  3. Step 3: Cross multiply
    401,590x = 836,474 × 836,474
  4. Step 4: Simplify right side
    401,590x = 699,688,752,676
  5. Step 5: Solve for x
    x = 699,688,752,676/401,590
  6. Step 6: Final answer
    x = 1,742,296.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.