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Finding the Third Proportional to 18,663 and 23,728.50

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Solution

The third proportional to 18,663 and 23,728.50 is: 30,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,663 : 23,728.50 = 23,728.50 : x
  2. Step 2: Convert to fraction form
    18,663/23,728.50 = 23,728.50/x
  3. Step 3: Cross multiply
    18,663x = 23,728.50 × 23,728.50
  4. Step 4: Simplify right side
    18,663x = 563,041,712.25
  5. Step 5: Solve for x
    x = 563,041,712.25/18,663
  6. Step 6: Final answer
    x = 30,168.87

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.