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Finding the Third Proportional to 254,464 and 394,210

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Solution

The third proportional to 254,464 and 394,210 is: 610,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,464 : 394,210 = 394,210 : x
  2. Step 2: Convert to fraction form
    254,464/394,210 = 394,210/x
  3. Step 3: Cross multiply
    254,464x = 394,210 × 394,210
  4. Step 4: Simplify right side
    254,464x = 155,401,524,100
  5. Step 5: Solve for x
    x = 155,401,524,100/254,464
  6. Step 6: Final answer
    x = 610,701.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.