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Finding the Third Proportional to 221,414 and 352,482

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Solution

The third proportional to 221,414 and 352,482 is: 561,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,414 : 352,482 = 352,482 : x
  2. Step 2: Convert to fraction form
    221,414/352,482 = 352,482/x
  3. Step 3: Cross multiply
    221,414x = 352,482 × 352,482
  4. Step 4: Simplify right side
    221,414x = 124,243,560,324
  5. Step 5: Solve for x
    x = 124,243,560,324/221,414
  6. Step 6: Final answer
    x = 561,136.88

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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.