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Finding the Third Proportional to 217,896 and 455,760

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Solution

The third proportional to 217,896 and 455,760 is: 953,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,896 : 455,760 = 455,760 : x
  2. Step 2: Convert to fraction form
    217,896/455,760 = 455,760/x
  3. Step 3: Cross multiply
    217,896x = 455,760 × 455,760
  4. Step 4: Simplify right side
    217,896x = 207,717,177,600
  5. Step 5: Solve for x
    x = 207,717,177,600/217,896
  6. Step 6: Final answer
    x = 953,285.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.