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Finding the Third Proportional to 32,196 and 50,558

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Solution

The third proportional to 32,196 and 50,558 is: 79,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196 : 50,558 = 50,558 : x
  2. Step 2: Convert to fraction form
    32,196/50,558 = 50,558/x
  3. Step 3: Cross multiply
    32,196x = 50,558 × 50,558
  4. Step 4: Simplify right side
    32,196x = 2,556,111,364
  5. Step 5: Solve for x
    x = 2,556,111,364/32,196
  6. Step 6: Final answer
    x = 79,392.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.