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Finding the Third Proportional to 73,398 and 102,128

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Solution

The third proportional to 73,398 and 102,128 is: 142,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,398 : 102,128 = 102,128 : x
  2. Step 2: Convert to fraction form
    73,398/102,128 = 102,128/x
  3. Step 3: Cross multiply
    73,398x = 102,128 × 102,128
  4. Step 4: Simplify right side
    73,398x = 10,430,128,384
  5. Step 5: Solve for x
    x = 10,430,128,384/73,398
  6. Step 6: Final answer
    x = 142,103.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.