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Finding the Third Proportional to 28,205 and 43,196

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Solution

The third proportional to 28,205 and 43,196 is: 66,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205 : 43,196 = 43,196 : x
  2. Step 2: Convert to fraction form
    28,205/43,196 = 43,196/x
  3. Step 3: Cross multiply
    28,205x = 43,196 × 43,196
  4. Step 4: Simplify right side
    28,205x = 1,865,894,416
  5. Step 5: Solve for x
    x = 1,865,894,416/28,205
  6. Step 6: Final answer
    x = 66,154.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.