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Finding the Third Proportional to 118,642 and 189,148

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Solution

The third proportional to 118,642 and 189,148 is: 301,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,642 : 189,148 = 189,148 : x
  2. Step 2: Convert to fraction form
    118,642/189,148 = 189,148/x
  3. Step 3: Cross multiply
    118,642x = 189,148 × 189,148
  4. Step 4: Simplify right side
    118,642x = 35,776,965,904
  5. Step 5: Solve for x
    x = 35,776,965,904/118,642
  6. Step 6: Final answer
    x = 301,553.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.