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Finding the Third Proportional to 14,620 and 23,753

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Solution

The third proportional to 14,620 and 23,753 is: 38,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,620 : 23,753 = 23,753 : x
  2. Step 2: Convert to fraction form
    14,620/23,753 = 23,753/x
  3. Step 3: Cross multiply
    14,620x = 23,753 × 23,753
  4. Step 4: Simplify right side
    14,620x = 564,205,009
  5. Step 5: Solve for x
    x = 564,205,009/14,620
  6. Step 6: Final answer
    x = 38,591.31

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.