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Finding the Third Proportional to 21,778.88 and 47,521.13

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Solution

The third proportional to 21,778.88 and 47,521.13 is: 103,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.88 : 47,521.13 = 47,521.13 : x
  2. Step 2: Convert to fraction form
    21,778.88/47,521.13 = 47,521.13/x
  3. Step 3: Cross multiply
    21,778.88x = 47,521.13 × 47,521.13
  4. Step 4: Simplify right side
    21,778.88x = 2,258,257,321.27
  5. Step 5: Solve for x
    x = 2,258,257,321.27/21,778.88
  6. Step 6: Final answer
    x = 103,690.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.