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Finding the Third Proportional to 221,408 and 352,475

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Solution

The third proportional to 221,408 and 352,475 is: 561,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,408 : 352,475 = 352,475 : x
  2. Step 2: Convert to fraction form
    221,408/352,475 = 352,475/x
  3. Step 3: Cross multiply
    221,408x = 352,475 × 352,475
  4. Step 4: Simplify right side
    221,408x = 124,238,625,625
  5. Step 5: Solve for x
    x = 124,238,625,625/221,408
  6. Step 6: Final answer
    x = 561,129.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.