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Finding the Third Proportional to 129,872.25 and 194,285.81

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Solution

The third proportional to 129,872.25 and 194,285.81 is: 290,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,872.25 : 194,285.81 = 194,285.81 : x
  2. Step 2: Convert to fraction form
    129,872.25/194,285.81 = 194,285.81/x
  3. Step 3: Cross multiply
    129,872.25x = 194,285.81 × 194,285.81
  4. Step 4: Simplify right side
    129,872.25x = 37,746,976,938.79
  5. Step 5: Solve for x
    x = 37,746,976,938.79/129,872.25
  6. Step 6: Final answer
    x = 290,646.98

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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.