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Finding the Third Proportional to 28,642 and 43,278

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Solution

The third proportional to 28,642 and 43,278 is: 65,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,642 : 43,278 = 43,278 : x
  2. Step 2: Convert to fraction form
    28,642/43,278 = 43,278/x
  3. Step 3: Cross multiply
    28,642x = 43,278 × 43,278
  4. Step 4: Simplify right side
    28,642x = 1,872,985,284
  5. Step 5: Solve for x
    x = 1,872,985,284/28,642
  6. Step 6: Final answer
    x = 65,392.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.