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Finding the Third Proportional to 8,954.30 and 18,643.92

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Solution

The third proportional to 8,954.30 and 18,643.92 is: 38,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.30 : 18,643.92 = 18,643.92 : x
  2. Step 2: Convert to fraction form
    8,954.30/18,643.92 = 18,643.92/x
  3. Step 3: Cross multiply
    8,954.30x = 18,643.92 × 18,643.92
  4. Step 4: Simplify right side
    8,954.30x = 347,595,822.88
  5. Step 5: Solve for x
    x = 347,595,822.88/8,954.30
  6. Step 6: Final answer
    x = 38,818.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.