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Finding the Third Proportional to 42,590 and 66,675

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Solution

The third proportional to 42,590 and 66,675 is: 104,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,590 : 66,675 = 66,675 : x
  2. Step 2: Convert to fraction form
    42,590/66,675 = 66,675/x
  3. Step 3: Cross multiply
    42,590x = 66,675 × 66,675
  4. Step 4: Simplify right side
    42,590x = 4,445,555,625
  5. Step 5: Solve for x
    x = 4,445,555,625/42,590
  6. Step 6: Final answer
    x = 104,380.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.