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Finding the Third Proportional to 91,178 and 189,604

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Solution

The third proportional to 91,178 and 189,604 is: 394,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,178 : 189,604 = 189,604 : x
  2. Step 2: Convert to fraction form
    91,178/189,604 = 189,604/x
  3. Step 3: Cross multiply
    91,178x = 189,604 × 189,604
  4. Step 4: Simplify right side
    91,178x = 35,949,676,816
  5. Step 5: Solve for x
    x = 35,949,676,816/91,178
  6. Step 6: Final answer
    x = 394,280.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.