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Finding the Third Proportional to 210,266 and 283,305

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Solution

The third proportional to 210,266 and 283,305 is: 381,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,266 : 283,305 = 283,305 : x
  2. Step 2: Convert to fraction form
    210,266/283,305 = 283,305/x
  3. Step 3: Cross multiply
    210,266x = 283,305 × 283,305
  4. Step 4: Simplify right side
    210,266x = 80,261,723,025
  5. Step 5: Solve for x
    x = 80,261,723,025/210,266
  6. Step 6: Final answer
    x = 381,715.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.