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Finding the Third Proportional to 94,935 and 133,564.50

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Solution

The third proportional to 94,935 and 133,564.50 is: 187,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,935 : 133,564.50 = 133,564.50 : x
  2. Step 2: Convert to fraction form
    94,935/133,564.50 = 133,564.50/x
  3. Step 3: Cross multiply
    94,935x = 133,564.50 × 133,564.50
  4. Step 4: Simplify right side
    94,935x = 17,839,475,660.25
  5. Step 5: Solve for x
    x = 17,839,475,660.25/94,935
  6. Step 6: Final answer
    x = 187,912.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.