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Finding the Third Proportional to 129,573 and 199,894.50

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Solution

The third proportional to 129,573 and 199,894.50 is: 308,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,573 : 199,894.50 = 199,894.50 : x
  2. Step 2: Convert to fraction form
    129,573/199,894.50 = 199,894.50/x
  3. Step 3: Cross multiply
    129,573x = 199,894.50 × 199,894.50
  4. Step 4: Simplify right side
    129,573x = 39,957,811,130.25
  5. Step 5: Solve for x
    x = 39,957,811,130.25/129,573
  6. Step 6: Final answer
    x = 308,380.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.