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Finding the Third Proportional to 91,770.75 and 133,661.50

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Solution

The third proportional to 91,770.75 and 133,661.50 is: 194,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,770.75 : 133,661.50 = 133,661.50 : x
  2. Step 2: Convert to fraction form
    91,770.75/133,661.50 = 133,661.50/x
  3. Step 3: Cross multiply
    91,770.75x = 133,661.50 × 133,661.50
  4. Step 4: Simplify right side
    91,770.75x = 17,865,396,582.25
  5. Step 5: Solve for x
    x = 17,865,396,582.25/91,770.75
  6. Step 6: Final answer
    x = 194,674.19

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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.