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Finding the Third Proportional to 401,574 and 836,418

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Solution

The third proportional to 401,574 and 836,418 is: 1,742,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,574 : 836,418 = 836,418 : x
  2. Step 2: Convert to fraction form
    401,574/836,418 = 836,418/x
  3. Step 3: Cross multiply
    401,574x = 836,418 × 836,418
  4. Step 4: Simplify right side
    401,574x = 699,595,070,724
  5. Step 5: Solve for x
    x = 699,595,070,724/401,574
  6. Step 6: Final answer
    x = 1,742,132.39

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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.