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Finding the Third Proportional to 42,978 and 66,411

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Solution

The third proportional to 42,978 and 66,411 is: 102,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,978 : 66,411 = 66,411 : x
  2. Step 2: Convert to fraction form
    42,978/66,411 = 66,411/x
  3. Step 3: Cross multiply
    42,978x = 66,411 × 66,411
  4. Step 4: Simplify right side
    42,978x = 4,410,420,921
  5. Step 5: Solve for x
    x = 4,410,420,921/42,978
  6. Step 6: Final answer
    x = 102,620.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.