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Finding the Third Proportional to 113,686 and 189,465

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Solution

The third proportional to 113,686 and 189,465 is: 315,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,686 : 189,465 = 189,465 : x
  2. Step 2: Convert to fraction form
    113,686/189,465 = 189,465/x
  3. Step 3: Cross multiply
    113,686x = 189,465 × 189,465
  4. Step 4: Simplify right side
    113,686x = 35,896,986,225
  5. Step 5: Solve for x
    x = 35,896,986,225/113,686
  6. Step 6: Final answer
    x = 315,755.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.