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Finding the Third Proportional to 194,082.75 and 284,158.13

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Solution

The third proportional to 194,082.75 and 284,158.13 is: 416,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,082.75 : 284,158.13 = 284,158.13 : x
  2. Step 2: Convert to fraction form
    194,082.75/284,158.13 = 284,158.13/x
  3. Step 3: Cross multiply
    194,082.75x = 284,158.13 × 284,158.13
  4. Step 4: Simplify right side
    194,082.75x = 80,745,840,003.52
  5. Step 5: Solve for x
    x = 80,745,840,003.52/194,082.75
  6. Step 6: Final answer
    x = 416,038.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.