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Finding the Third Proportional to 65,901 and 102,129

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Solution

The third proportional to 65,901 and 102,129 is: 158,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,901 : 102,129 = 102,129 : x
  2. Step 2: Convert to fraction form
    65,901/102,129 = 102,129/x
  3. Step 3: Cross multiply
    65,901x = 102,129 × 102,129
  4. Step 4: Simplify right side
    65,901x = 10,430,332,641
  5. Step 5: Solve for x
    x = 10,430,332,641/65,901
  6. Step 6: Final answer
    x = 158,272.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.