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Finding the Third Proportional to 8,913 and 20,581.50

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Solution

The third proportional to 8,913 and 20,581.50 is: 47,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913 : 20,581.50 = 20,581.50 : x
  2. Step 2: Convert to fraction form
    8,913/20,581.50 = 20,581.50/x
  3. Step 3: Cross multiply
    8,913x = 20,581.50 × 20,581.50
  4. Step 4: Simplify right side
    8,913x = 423,598,142.25
  5. Step 5: Solve for x
    x = 423,598,142.25/8,913
  6. Step 6: Final answer
    x = 47,525.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.