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Finding the Third Proportional to 48,978 and 66,445

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Solution

The third proportional to 48,978 and 66,445 is: 90,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978 : 66,445 = 66,445 : x
  2. Step 2: Convert to fraction form
    48,978/66,445 = 66,445/x
  3. Step 3: Cross multiply
    48,978x = 66,445 × 66,445
  4. Step 4: Simplify right side
    48,978x = 4,414,938,025
  5. Step 5: Solve for x
    x = 4,414,938,025/48,978
  6. Step 6: Final answer
    x = 90,141.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.