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Finding the Third Proportional to 30,978 and 48,035

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Solution

The third proportional to 30,978 and 48,035 is: 74,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978 : 48,035 = 48,035 : x
  2. Step 2: Convert to fraction form
    30,978/48,035 = 48,035/x
  3. Step 3: Cross multiply
    30,978x = 48,035 × 48,035
  4. Step 4: Simplify right side
    30,978x = 2,307,361,225
  5. Step 5: Solve for x
    x = 2,307,361,225/30,978
  6. Step 6: Final answer
    x = 74,483.87

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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.