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Finding the Third Proportional to 133,021.13 and 195,642

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Solution

The third proportional to 133,021.13 and 195,642 is: 287,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021.13 : 195,642 = 195,642 : x
  2. Step 2: Convert to fraction form
    133,021.13/195,642 = 195,642/x
  3. Step 3: Cross multiply
    133,021.13x = 195,642 × 195,642
  4. Step 4: Simplify right side
    133,021.13x = 38,275,792,164
  5. Step 5: Solve for x
    x = 38,275,792,164/133,021.13
  6. Step 6: Final answer
    x = 287,742.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.