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Finding the Third Proportional to 9,798 and 23,109

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Solution

The third proportional to 9,798 and 23,109 is: 54,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798 : 23,109 = 23,109 : x
  2. Step 2: Convert to fraction form
    9,798/23,109 = 23,109/x
  3. Step 3: Cross multiply
    9,798x = 23,109 × 23,109
  4. Step 4: Simplify right side
    9,798x = 534,025,881
  5. Step 5: Solve for x
    x = 534,025,881/9,798
  6. Step 6: Final answer
    x = 54,503.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.