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Finding the Third Proportional to 96,554 and 201,936.50

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Solution

The third proportional to 96,554 and 201,936.50 is: 422,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,554 : 201,936.50 = 201,936.50 : x
  2. Step 2: Convert to fraction form
    96,554/201,936.50 = 201,936.50/x
  3. Step 3: Cross multiply
    96,554x = 201,936.50 × 201,936.50
  4. Step 4: Simplify right side
    96,554x = 40,778,350,032.25
  5. Step 5: Solve for x
    x = 40,778,350,032.25/96,554
  6. Step 6: Final answer
    x = 422,337.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.