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Finding the Third Proportional to 100,129 and 139,986

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Solution

The third proportional to 100,129 and 139,986 is: 195,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,129 : 139,986 = 139,986 : x
  2. Step 2: Convert to fraction form
    100,129/139,986 = 139,986/x
  3. Step 3: Cross multiply
    100,129x = 139,986 × 139,986
  4. Step 4: Simplify right side
    100,129x = 19,596,080,196
  5. Step 5: Solve for x
    x = 19,596,080,196/100,129
  6. Step 6: Final answer
    x = 195,708.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.