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Finding the Third Proportional to 215,136 and 454,896

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Solution

The third proportional to 215,136 and 454,896 is: 961,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,136 : 454,896 = 454,896 : x
  2. Step 2: Convert to fraction form
    215,136/454,896 = 454,896/x
  3. Step 3: Cross multiply
    215,136x = 454,896 × 454,896
  4. Step 4: Simplify right side
    215,136x = 206,930,370,816
  5. Step 5: Solve for x
    x = 206,930,370,816/215,136
  6. Step 6: Final answer
    x = 961,858.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.