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Finding the Third Proportional to 129,603.50 and 211,631

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Solution

The third proportional to 129,603.50 and 211,631 is: 345,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,603.50 : 211,631 = 211,631 : x
  2. Step 2: Convert to fraction form
    129,603.50/211,631 = 211,631/x
  3. Step 3: Cross multiply
    129,603.50x = 211,631 × 211,631
  4. Step 4: Simplify right side
    129,603.50x = 44,787,680,161
  5. Step 5: Solve for x
    x = 44,787,680,161/129,603.50
  6. Step 6: Final answer
    x = 345,574.62

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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.