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Finding the Third Proportional to 136,311 and 195,120

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Solution

The third proportional to 136,311 and 195,120 is: 279,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,311 : 195,120 = 195,120 : x
  2. Step 2: Convert to fraction form
    136,311/195,120 = 195,120/x
  3. Step 3: Cross multiply
    136,311x = 195,120 × 195,120
  4. Step 4: Simplify right side
    136,311x = 38,071,814,400
  5. Step 5: Solve for x
    x = 38,071,814,400/136,311
  6. Step 6: Final answer
    x = 279,301.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.