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Finding the Third Proportional to 2,187.84 and 4,728.80

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Solution

The third proportional to 2,187.84 and 4,728.80 is: 10,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.84 : 4,728.80 = 4,728.80 : x
  2. Step 2: Convert to fraction form
    2,187.84/4,728.80 = 4,728.80/x
  3. Step 3: Cross multiply
    2,187.84x = 4,728.80 × 4,728.80
  4. Step 4: Simplify right side
    2,187.84x = 22,361,519.89
  5. Step 5: Solve for x
    x = 22,361,519.89/2,187.84
  6. Step 6: Final answer
    x = 10,220.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.