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Finding the Third Proportional to 27,809 and 43,416

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Solution

The third proportional to 27,809 and 43,416 is: 67,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809 : 43,416 = 43,416 : x
  2. Step 2: Convert to fraction form
    27,809/43,416 = 43,416/x
  3. Step 3: Cross multiply
    27,809x = 43,416 × 43,416
  4. Step 4: Simplify right side
    27,809x = 1,884,949,056
  5. Step 5: Solve for x
    x = 1,884,949,056/27,809
  6. Step 6: Final answer
    x = 67,781.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.