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Finding the Third Proportional to 91,025 and 133,073

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Solution

The third proportional to 91,025 and 133,073 is: 194,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,025 : 133,073 = 133,073 : x
  2. Step 2: Convert to fraction form
    91,025/133,073 = 133,073/x
  3. Step 3: Cross multiply
    91,025x = 133,073 × 133,073
  4. Step 4: Simplify right side
    91,025x = 17,708,423,329
  5. Step 5: Solve for x
    x = 17,708,423,329/91,025
  6. Step 6: Final answer
    x = 194,544.61

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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.