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Finding the Third Proportional to 401,375 and 550,395

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Solution

The third proportional to 401,375 and 550,395 is: 754,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,375 : 550,395 = 550,395 : x
  2. Step 2: Convert to fraction form
    401,375/550,395 = 550,395/x
  3. Step 3: Cross multiply
    401,375x = 550,395 × 550,395
  4. Step 4: Simplify right side
    401,375x = 302,934,656,025
  5. Step 5: Solve for x
    x = 302,934,656,025/401,375
  6. Step 6: Final answer
    x = 754,742.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.