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Finding the Third Proportional to 10,129.50 and 11,209.50

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Solution

The third proportional to 10,129.50 and 11,209.50 is: 12,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.50 : 11,209.50 = 11,209.50 : x
  2. Step 2: Convert to fraction form
    10,129.50/11,209.50 = 11,209.50/x
  3. Step 3: Cross multiply
    10,129.50x = 11,209.50 × 11,209.50
  4. Step 4: Simplify right side
    10,129.50x = 125,652,890.25
  5. Step 5: Solve for x
    x = 125,652,890.25/10,129.50
  6. Step 6: Final answer
    x = 12,404.65

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.