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Finding the Third Proportional to 44,132 and 96,196

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Solution

The third proportional to 44,132 and 96,196 is: 209,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,132 : 96,196 = 96,196 : x
  2. Step 2: Convert to fraction form
    44,132/96,196 = 96,196/x
  3. Step 3: Cross multiply
    44,132x = 96,196 × 96,196
  4. Step 4: Simplify right side
    44,132x = 9,253,670,416
  5. Step 5: Solve for x
    x = 9,253,670,416/44,132
  6. Step 6: Final answer
    x = 209,681.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.