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Finding the Third Proportional to 10,864.50 and 23,805

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Solution

The third proportional to 10,864.50 and 23,805 is: 52,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.50 : 23,805 = 23,805 : x
  2. Step 2: Convert to fraction form
    10,864.50/23,805 = 23,805/x
  3. Step 3: Cross multiply
    10,864.50x = 23,805 × 23,805
  4. Step 4: Simplify right side
    10,864.50x = 566,678,025
  5. Step 5: Solve for x
    x = 566,678,025/10,864.50
  6. Step 6: Final answer
    x = 52,158.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.