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Finding the Third Proportional to 90,586.50 and 133,215.75

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Solution

The third proportional to 90,586.50 and 133,215.75 is: 195,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,586.50 : 133,215.75 = 133,215.75 : x
  2. Step 2: Convert to fraction form
    90,586.50/133,215.75 = 133,215.75/x
  3. Step 3: Cross multiply
    90,586.50x = 133,215.75 × 133,215.75
  4. Step 4: Simplify right side
    90,586.50x = 17,746,436,048.06
  5. Step 5: Solve for x
    x = 17,746,436,048.06/90,586.50
  6. Step 6: Final answer
    x = 195,905.97

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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.