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Finding the Third Proportional to 42,975 and 66,408

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Solution

The third proportional to 42,975 and 66,408 is: 102,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,975 : 66,408 = 66,408 : x
  2. Step 2: Convert to fraction form
    42,975/66,408 = 66,408/x
  3. Step 3: Cross multiply
    42,975x = 66,408 × 66,408
  4. Step 4: Simplify right side
    42,975x = 4,410,022,464
  5. Step 5: Solve for x
    x = 4,410,022,464/42,975
  6. Step 6: Final answer
    x = 102,618.32

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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.