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Finding the Third Proportional to 10,623 and 23,109

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Solution

The third proportional to 10,623 and 23,109 is: 50,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623 : 23,109 = 23,109 : x
  2. Step 2: Convert to fraction form
    10,623/23,109 = 23,109/x
  3. Step 3: Cross multiply
    10,623x = 23,109 × 23,109
  4. Step 4: Simplify right side
    10,623x = 534,025,881
  5. Step 5: Solve for x
    x = 534,025,881/10,623
  6. Step 6: Final answer
    x = 50,270.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.