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Finding the Third Proportional to 91,752 and 202,132

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Solution

The third proportional to 91,752 and 202,132 is: 445,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,752 : 202,132 = 202,132 : x
  2. Step 2: Convert to fraction form
    91,752/202,132 = 202,132/x
  3. Step 3: Cross multiply
    91,752x = 202,132 × 202,132
  4. Step 4: Simplify right side
    91,752x = 40,857,345,424
  5. Step 5: Solve for x
    x = 40,857,345,424/91,752
  6. Step 6: Final answer
    x = 445,301.96

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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.