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Finding the Third Proportional to 215,622 and 473,619

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Solution

The third proportional to 215,622 and 473,619 is: 1,040,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,622 : 473,619 = 473,619 : x
  2. Step 2: Convert to fraction form
    215,622/473,619 = 473,619/x
  3. Step 3: Cross multiply
    215,622x = 473,619 × 473,619
  4. Step 4: Simplify right side
    215,622x = 224,314,957,161
  5. Step 5: Solve for x
    x = 224,314,957,161/215,622
  6. Step 6: Final answer
    x = 1,040,315.72

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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.