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Finding the Third Proportional to 401,634 and 836,532

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Solution

The third proportional to 401,634 and 836,532 is: 1,742,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,634 : 836,532 = 836,532 : x
  2. Step 2: Convert to fraction form
    401,634/836,532 = 836,532/x
  3. Step 3: Cross multiply
    401,634x = 836,532 × 836,532
  4. Step 4: Simplify right side
    401,634x = 699,785,787,024
  5. Step 5: Solve for x
    x = 699,785,787,024/401,634
  6. Step 6: Final answer
    x = 1,742,346.98

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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.