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Finding the Third Proportional to 221,330 and 338,475

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Solution

The third proportional to 221,330 and 338,475 is: 517,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,330 : 338,475 = 338,475 : x
  2. Step 2: Convert to fraction form
    221,330/338,475 = 338,475/x
  3. Step 3: Cross multiply
    221,330x = 338,475 × 338,475
  4. Step 4: Simplify right side
    221,330x = 114,565,325,625
  5. Step 5: Solve for x
    x = 114,565,325,625/221,330
  6. Step 6: Final answer
    x = 517,622.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.