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Finding the Third Proportional to 96,586.50 and 141,990.75

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Solution

The third proportional to 96,586.50 and 141,990.75 is: 208,739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,586.50 : 141,990.75 = 141,990.75 : x
  2. Step 2: Convert to fraction form
    96,586.50/141,990.75 = 141,990.75/x
  3. Step 3: Cross multiply
    96,586.50x = 141,990.75 × 141,990.75
  4. Step 4: Simplify right side
    96,586.50x = 20,161,373,085.56
  5. Step 5: Solve for x
    x = 20,161,373,085.56/96,586.50
  6. Step 6: Final answer
    x = 208,739.04

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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.