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Finding the Third Proportional to 9,987.19 and 21,853.41

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Solution

The third proportional to 9,987.19 and 21,853.41 is: 47,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.19 : 21,853.41 = 21,853.41 : x
  2. Step 2: Convert to fraction form
    9,987.19/21,853.41 = 21,853.41/x
  3. Step 3: Cross multiply
    9,987.19x = 21,853.41 × 21,853.41
  4. Step 4: Simplify right side
    9,987.19x = 477,571,364.73
  5. Step 5: Solve for x
    x = 477,571,364.73/9,987.19
  6. Step 6: Final answer
    x = 47,818.40

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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.