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Finding the Third Proportional to 422,388 and 859,443

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Solution

The third proportional to 422,388 and 859,443 is: 1,748,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,388 : 859,443 = 859,443 : x
  2. Step 2: Convert to fraction form
    422,388/859,443 = 859,443/x
  3. Step 3: Cross multiply
    422,388x = 859,443 × 859,443
  4. Step 4: Simplify right side
    422,388x = 738,642,270,249
  5. Step 5: Solve for x
    x = 738,642,270,249/422,388
  6. Step 6: Final answer
    x = 1,748,729.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.