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Finding the Third Proportional to 128,988 and 194,238

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Solution

The third proportional to 128,988 and 194,238 is: 292,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,988 : 194,238 = 194,238 : x
  2. Step 2: Convert to fraction form
    128,988/194,238 = 194,238/x
  3. Step 3: Cross multiply
    128,988x = 194,238 × 194,238
  4. Step 4: Simplify right side
    128,988x = 37,728,400,644
  5. Step 5: Solve for x
    x = 37,728,400,644/128,988
  6. Step 6: Final answer
    x = 292,495.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.