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Finding the Third Proportional to 10,733 and 15,613

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Solution

The third proportional to 10,733 and 15,613 is: 22,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733 : 15,613 = 15,613 : x
  2. Step 2: Convert to fraction form
    10,733/15,613 = 15,613/x
  3. Step 3: Cross multiply
    10,733x = 15,613 × 15,613
  4. Step 4: Simplify right side
    10,733x = 243,765,769
  5. Step 5: Solve for x
    x = 243,765,769/10,733
  6. Step 6: Final answer
    x = 22,711.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.