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Finding the Third Proportional to 206,360 and 311,196

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Solution

The third proportional to 206,360 and 311,196 is: 469,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,360 : 311,196 = 311,196 : x
  2. Step 2: Convert to fraction form
    206,360/311,196 = 311,196/x
  3. Step 3: Cross multiply
    206,360x = 311,196 × 311,196
  4. Step 4: Simplify right side
    206,360x = 96,842,950,416
  5. Step 5: Solve for x
    x = 96,842,950,416/206,360
  6. Step 6: Final answer
    x = 469,291.29

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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.