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Finding the Third Proportional to 9,987.75 and 21,854.25

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Solution

The third proportional to 9,987.75 and 21,854.25 is: 47,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.75 : 21,854.25 = 21,854.25 : x
  2. Step 2: Convert to fraction form
    9,987.75/21,854.25 = 21,854.25/x
  3. Step 3: Cross multiply
    9,987.75x = 21,854.25 × 21,854.25
  4. Step 4: Simplify right side
    9,987.75x = 477,608,243.06
  5. Step 5: Solve for x
    x = 477,608,243.06/9,987.75
  6. Step 6: Final answer
    x = 47,819.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.