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Finding the Third Proportional to 12,753 and 20,263.50

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Solution

The third proportional to 12,753 and 20,263.50 is: 32,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753 : 20,263.50 = 20,263.50 : x
  2. Step 2: Convert to fraction form
    12,753/20,263.50 = 20,263.50/x
  3. Step 3: Cross multiply
    12,753x = 20,263.50 × 20,263.50
  4. Step 4: Simplify right side
    12,753x = 410,609,432.25
  5. Step 5: Solve for x
    x = 410,609,432.25/12,753
  6. Step 6: Final answer
    x = 32,197.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.