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Finding the Third Proportional to 22,490 and 33,613

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Solution

The third proportional to 22,490 and 33,613 is: 50,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,490 : 33,613 = 33,613 : x
  2. Step 2: Convert to fraction form
    22,490/33,613 = 33,613/x
  3. Step 3: Cross multiply
    22,490x = 33,613 × 33,613
  4. Step 4: Simplify right side
    22,490x = 1,129,833,769
  5. Step 5: Solve for x
    x = 1,129,833,769/22,490
  6. Step 6: Final answer
    x = 50,237.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.