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Finding the Third Proportional to 133,090 and 195,743

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Solution

The third proportional to 133,090 and 195,743 is: 287,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,090 : 195,743 = 195,743 : x
  2. Step 2: Convert to fraction form
    133,090/195,743 = 195,743/x
  3. Step 3: Cross multiply
    133,090x = 195,743 × 195,743
  4. Step 4: Simplify right side
    133,090x = 38,315,322,049
  5. Step 5: Solve for x
    x = 38,315,322,049/133,090
  6. Step 6: Final answer
    x = 287,890.32

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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.