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Finding the Third Proportional to 9,384.50 and 20,280

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Solution

The third proportional to 9,384.50 and 20,280 is: 43,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.50 : 20,280 = 20,280 : x
  2. Step 2: Convert to fraction form
    9,384.50/20,280 = 20,280/x
  3. Step 3: Cross multiply
    9,384.50x = 20,280 × 20,280
  4. Step 4: Simplify right side
    9,384.50x = 411,278,400
  5. Step 5: Solve for x
    x = 411,278,400/9,384.50
  6. Step 6: Final answer
    x = 43,825.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.