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Finding the Third Proportional to 19,878.75 and 28,090.13

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Solution

The third proportional to 19,878.75 and 28,090.13 is: 39,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.75 : 28,090.13 = 28,090.13 : x
  2. Step 2: Convert to fraction form
    19,878.75/28,090.13 = 28,090.13/x
  3. Step 3: Cross multiply
    19,878.75x = 28,090.13 × 28,090.13
  4. Step 4: Simplify right side
    19,878.75x = 789,055,122.52
  5. Step 5: Solve for x
    x = 789,055,122.52/19,878.75
  6. Step 6: Final answer
    x = 39,693.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.