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Finding the Third Proportional to 28,287 and 43,195.50

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Solution

The third proportional to 28,287 and 43,195.50 is: 65,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,287 : 43,195.50 = 43,195.50 : x
  2. Step 2: Convert to fraction form
    28,287/43,195.50 = 43,195.50/x
  3. Step 3: Cross multiply
    28,287x = 43,195.50 × 43,195.50
  4. Step 4: Simplify right side
    28,287x = 1,865,851,220.25
  5. Step 5: Solve for x
    x = 1,865,851,220.25/28,287
  6. Step 6: Final answer
    x = 65,961.44

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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.