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Finding the Third Proportional to 2,190.94 and 4,777.88

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Solution

The third proportional to 2,190.94 and 4,777.88 is: 10,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.94 : 4,777.88 = 4,777.88 : x
  2. Step 2: Convert to fraction form
    2,190.94/4,777.88 = 4,777.88/x
  3. Step 3: Cross multiply
    2,190.94x = 4,777.88 × 4,777.88
  4. Step 4: Simplify right side
    2,190.94x = 22,828,089.52
  5. Step 5: Solve for x
    x = 22,828,089.52/2,190.94
  6. Step 6: Final answer
    x = 10,419.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.