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Finding the Third Proportional to 411,408 and 621,498

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Solution

The third proportional to 411,408 and 621,498 is: 938,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,408 : 621,498 = 621,498 : x
  2. Step 2: Convert to fraction form
    411,408/621,498 = 621,498/x
  3. Step 3: Cross multiply
    411,408x = 621,498 × 621,498
  4. Step 4: Simplify right side
    411,408x = 386,259,764,004
  5. Step 5: Solve for x
    x = 386,259,764,004/411,408
  6. Step 6: Final answer
    x = 938,872.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.