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Finding the Third Proportional to 9,781.88 and 21,158.44

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Solution

The third proportional to 9,781.88 and 21,158.44 is: 45,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.88 : 21,158.44 = 21,158.44 : x
  2. Step 2: Convert to fraction form
    9,781.88/21,158.44 = 21,158.44/x
  3. Step 3: Cross multiply
    9,781.88x = 21,158.44 × 21,158.44
  4. Step 4: Simplify right side
    9,781.88x = 447,679,477.44
  5. Step 5: Solve for x
    x = 447,679,477.44/9,781.88
  6. Step 6: Final answer
    x = 45,766.22

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1.5x scale

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.