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Finding the Third Proportional to 133,612.50 and 199,770

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Solution

The third proportional to 133,612.50 and 199,770 is: 298,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,612.50 : 199,770 = 199,770 : x
  2. Step 2: Convert to fraction form
    133,612.50/199,770 = 199,770/x
  3. Step 3: Cross multiply
    133,612.50x = 199,770 × 199,770
  4. Step 4: Simplify right side
    133,612.50x = 39,908,052,900
  5. Step 5: Solve for x
    x = 39,908,052,900/133,612.50
  6. Step 6: Final answer
    x = 298,685.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.