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Finding the Third Proportional to 90,811.13 and 199,530.84

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Solution

The third proportional to 90,811.13 and 199,530.84 is: 438,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,811.13 : 199,530.84 = 199,530.84 : x
  2. Step 2: Convert to fraction form
    90,811.13/199,530.84 = 199,530.84/x
  3. Step 3: Cross multiply
    90,811.13x = 199,530.84 × 199,530.84
  4. Step 4: Simplify right side
    90,811.13x = 39,812,557,607.59
  5. Step 5: Solve for x
    x = 39,812,557,607.59/90,811.13
  6. Step 6: Final answer
    x = 438,410.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.