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Finding the Third Proportional to 10,620.50 and 23,280.50

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Solution

The third proportional to 10,620.50 and 23,280.50 is: 51,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.50 : 23,280.50 = 23,280.50 : x
  2. Step 2: Convert to fraction form
    10,620.50/23,280.50 = 23,280.50/x
  3. Step 3: Cross multiply
    10,620.50x = 23,280.50 × 23,280.50
  4. Step 4: Simplify right side
    10,620.50x = 541,981,680.25
  5. Step 5: Solve for x
    x = 541,981,680.25/10,620.50
  6. Step 6: Final answer
    x = 51,031.65

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Why These Related Problems?

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