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Finding the Third Proportional to 219,608 and 465,136

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Solution

The third proportional to 219,608 and 465,136 is: 985,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,608 : 465,136 = 465,136 : x
  2. Step 2: Convert to fraction form
    219,608/465,136 = 465,136/x
  3. Step 3: Cross multiply
    219,608x = 465,136 × 465,136
  4. Step 4: Simplify right side
    219,608x = 216,351,498,496
  5. Step 5: Solve for x
    x = 216,351,498,496/219,608
  6. Step 6: Final answer
    x = 985,171.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.