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Finding the Third Proportional to 8,984.50 and 19,103

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Solution

The third proportional to 8,984.50 and 19,103 is: 40,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.50 : 19,103 = 19,103 : x
  2. Step 2: Convert to fraction form
    8,984.50/19,103 = 19,103/x
  3. Step 3: Cross multiply
    8,984.50x = 19,103 × 19,103
  4. Step 4: Simplify right side
    8,984.50x = 364,924,609
  5. Step 5: Solve for x
    x = 364,924,609/8,984.50
  6. Step 6: Final answer
    x = 40,617.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.