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Finding the Third Proportional to 91,780 and 133,676

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Solution

The third proportional to 91,780 and 133,676 is: 194,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,780 : 133,676 = 133,676 : x
  2. Step 2: Convert to fraction form
    91,780/133,676 = 133,676/x
  3. Step 3: Cross multiply
    91,780x = 133,676 × 133,676
  4. Step 4: Simplify right side
    91,780x = 17,869,272,976
  5. Step 5: Solve for x
    x = 17,869,272,976/91,780
  6. Step 6: Final answer
    x = 194,696.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.