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Finding the Third Proportional to 133,050 and 195,686

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Solution

The third proportional to 133,050 and 195,686 is: 287,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 195,686 = 195,686 : x
  2. Step 2: Convert to fraction form
    133,050/195,686 = 195,686/x
  3. Step 3: Cross multiply
    133,050x = 195,686 × 195,686
  4. Step 4: Simplify right side
    133,050x = 38,293,010,596
  5. Step 5: Solve for x
    x = 38,293,010,596/133,050
  6. Step 6: Final answer
    x = 287,809.17

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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.