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Finding the Third Proportional to 215,266 and 473,305

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Solution

The third proportional to 215,266 and 473,305 is: 1,040,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,266 : 473,305 = 473,305 : x
  2. Step 2: Convert to fraction form
    215,266/473,305 = 473,305/x
  3. Step 3: Cross multiply
    215,266x = 473,305 × 473,305
  4. Step 4: Simplify right side
    215,266x = 224,017,623,025
  5. Step 5: Solve for x
    x = 224,017,623,025/215,266
  6. Step 6: Final answer
    x = 1,040,654.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.