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Finding the Third Proportional to 221,435 and 352,514

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Solution

The third proportional to 221,435 and 352,514 is: 561,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,435 : 352,514 = 352,514 : x
  2. Step 2: Convert to fraction form
    221,435/352,514 = 352,514/x
  3. Step 3: Cross multiply
    221,435x = 352,514 × 352,514
  4. Step 4: Simplify right side
    221,435x = 124,266,120,196
  5. Step 5: Solve for x
    x = 124,266,120,196/221,435
  6. Step 6: Final answer
    x = 561,185.54

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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.