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Finding the Third Proportional to 129,297.94 and 200,674.13

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Solution

The third proportional to 129,297.94 and 200,674.13 is: 311,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,297.94 : 200,674.13 = 200,674.13 : x
  2. Step 2: Convert to fraction form
    129,297.94/200,674.13 = 200,674.13/x
  3. Step 3: Cross multiply
    129,297.94x = 200,674.13 × 200,674.13
  4. Step 4: Simplify right side
    129,297.94x = 40,270,104,444.52
  5. Step 5: Solve for x
    x = 40,270,104,444.52/129,297.94
  6. Step 6: Final answer
    x = 311,452.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.