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Finding the Third Proportional to 13,098 and 20,313

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Solution

The third proportional to 13,098 and 20,313 is: 31,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098 : 20,313 = 20,313 : x
  2. Step 2: Convert to fraction form
    13,098/20,313 = 20,313/x
  3. Step 3: Cross multiply
    13,098x = 20,313 × 20,313
  4. Step 4: Simplify right side
    13,098x = 412,617,969
  5. Step 5: Solve for x
    x = 412,617,969/13,098
  6. Step 6: Final answer
    x = 31,502.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.