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Finding the Third Proportional to 19,801.13 and 42,720.75

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Solution

The third proportional to 19,801.13 and 42,720.75 is: 92,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.13 : 42,720.75 = 42,720.75 : x
  2. Step 2: Convert to fraction form
    19,801.13/42,720.75 = 42,720.75/x
  3. Step 3: Cross multiply
    19,801.13x = 42,720.75 × 42,720.75
  4. Step 4: Simplify right side
    19,801.13x = 1,825,062,480.56
  5. Step 5: Solve for x
    x = 1,825,062,480.56/19,801.13
  6. Step 6: Final answer
    x = 92,169.64

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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.