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Finding the Third Proportional to 10,503 and 11,434.50

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Solution

The third proportional to 10,503 and 11,434.50 is: 12,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503 : 11,434.50 = 11,434.50 : x
  2. Step 2: Convert to fraction form
    10,503/11,434.50 = 11,434.50/x
  3. Step 3: Cross multiply
    10,503x = 11,434.50 × 11,434.50
  4. Step 4: Simplify right side
    10,503x = 130,747,790.25
  5. Step 5: Solve for x
    x = 130,747,790.25/10,503
  6. Step 6: Final answer
    x = 12,448.61

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.