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Finding the Third Proportional to 32,252 and 49,833

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Solution

The third proportional to 32,252 and 49,833 is: 76,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,252 : 49,833 = 49,833 : x
  2. Step 2: Convert to fraction form
    32,252/49,833 = 49,833/x
  3. Step 3: Cross multiply
    32,252x = 49,833 × 49,833
  4. Step 4: Simplify right side
    32,252x = 2,483,327,889
  5. Step 5: Solve for x
    x = 2,483,327,889/32,252
  6. Step 6: Final answer
    x = 76,997.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.