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Finding the Third Proportional to 91,752.25 and 202,130.75

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Solution

The third proportional to 91,752.25 and 202,130.75 is: 445,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,752.25 : 202,130.75 = 202,130.75 : x
  2. Step 2: Convert to fraction form
    91,752.25/202,130.75 = 202,130.75/x
  3. Step 3: Cross multiply
    91,752.25x = 202,130.75 × 202,130.75
  4. Step 4: Simplify right side
    91,752.25x = 40,856,840,095.56
  5. Step 5: Solve for x
    x = 40,856,840,095.56/91,752.25
  6. Step 6: Final answer
    x = 445,295.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.