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Finding the Third Proportional to 129,610.50 and 211,641.75

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Solution

The third proportional to 129,610.50 and 211,641.75 is: 345,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,610.50 : 211,641.75 = 211,641.75 : x
  2. Step 2: Convert to fraction form
    129,610.50/211,641.75 = 211,641.75/x
  3. Step 3: Cross multiply
    129,610.50x = 211,641.75 × 211,641.75
  4. Step 4: Simplify right side
    129,610.50x = 44,792,230,343.06
  5. Step 5: Solve for x
    x = 44,792,230,343.06/129,610.50
  6. Step 6: Final answer
    x = 345,591.06

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.