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Finding the Third Proportional to 10,524 and 11,455.50

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Solution

The third proportional to 10,524 and 11,455.50 is: 12,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 11,455.50 = 11,455.50 : x
  2. Step 2: Convert to fraction form
    10,524/11,455.50 = 11,455.50/x
  3. Step 3: Cross multiply
    10,524x = 11,455.50 × 11,455.50
  4. Step 4: Simplify right side
    10,524x = 131,228,480.25
  5. Step 5: Solve for x
    x = 131,228,480.25/10,524
  6. Step 6: Final answer
    x = 12,469.45

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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.