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Finding the Third Proportional to 401,638 and 836,572

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Solution

The third proportional to 401,638 and 836,572 is: 1,742,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,638 : 836,572 = 836,572 : x
  2. Step 2: Convert to fraction form
    401,638/836,572 = 836,572/x
  3. Step 3: Cross multiply
    401,638x = 836,572 × 836,572
  4. Step 4: Simplify right side
    401,638x = 699,852,711,184
  5. Step 5: Solve for x
    x = 699,852,711,184/401,638
  6. Step 6: Final answer
    x = 1,742,496.26

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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.