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Finding the Third Proportional to 27,830 and 43,100

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Solution

The third proportional to 27,830 and 43,100 is: 66,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830 : 43,100 = 43,100 : x
  2. Step 2: Convert to fraction form
    27,830/43,100 = 43,100/x
  3. Step 3: Cross multiply
    27,830x = 43,100 × 43,100
  4. Step 4: Simplify right side
    27,830x = 1,857,610,000
  5. Step 5: Solve for x
    x = 1,857,610,000/27,830
  6. Step 6: Final answer
    x = 66,748.47

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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.