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Finding the Third Proportional to 89,960 and 197,128

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Solution

The third proportional to 89,960 and 197,128 is: 431,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,960 : 197,128 = 197,128 : x
  2. Step 2: Convert to fraction form
    89,960/197,128 = 197,128/x
  3. Step 3: Cross multiply
    89,960x = 197,128 × 197,128
  4. Step 4: Simplify right side
    89,960x = 38,859,448,384
  5. Step 5: Solve for x
    x = 38,859,448,384/89,960
  6. Step 6: Final answer
    x = 431,963.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.