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Finding the Third Proportional to 91,489.50 and 202,707.56

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Solution

The third proportional to 91,489.50 and 202,707.56 is: 449,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,489.50 : 202,707.56 = 202,707.56 : x
  2. Step 2: Convert to fraction form
    91,489.50/202,707.56 = 202,707.56/x
  3. Step 3: Cross multiply
    91,489.50x = 202,707.56 × 202,707.56
  4. Step 4: Simplify right side
    91,489.50x = 41,090,355,894.69
  5. Step 5: Solve for x
    x = 41,090,355,894.69/91,489.50
  6. Step 6: Final answer
    x = 449,126.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.