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Finding the Third Proportional to 20,613 and 45,231

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Solution

The third proportional to 20,613 and 45,231 is: 99,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613 : 45,231 = 45,231 : x
  2. Step 2: Convert to fraction form
    20,613/45,231 = 45,231/x
  3. Step 3: Cross multiply
    20,613x = 45,231 × 45,231
  4. Step 4: Simplify right side
    20,613x = 2,045,843,361
  5. Step 5: Solve for x
    x = 2,045,843,361/20,613
  6. Step 6: Final answer
    x = 99,250.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.