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Finding the Third Proportional to 215,176 and 472,817

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Solution

The third proportional to 215,176 and 472,817 is: 1,038,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,176 : 472,817 = 472,817 : x
  2. Step 2: Convert to fraction form
    215,176/472,817 = 472,817/x
  3. Step 3: Cross multiply
    215,176x = 472,817 × 472,817
  4. Step 4: Simplify right side
    215,176x = 223,555,915,489
  5. Step 5: Solve for x
    x = 223,555,915,489/215,176
  6. Step 6: Final answer
    x = 1,038,944.47

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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.