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Finding the Third Proportional to 403,778 and 728,620

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Solution

The third proportional to 403,778 and 728,620 is: 1,314,799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,778 : 728,620 = 728,620 : x
  2. Step 2: Convert to fraction form
    403,778/728,620 = 728,620/x
  3. Step 3: Cross multiply
    403,778x = 728,620 × 728,620
  4. Step 4: Simplify right side
    403,778x = 530,887,104,400
  5. Step 5: Solve for x
    x = 530,887,104,400/403,778
  6. Step 6: Final answer
    x = 1,314,799.48

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.