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Finding the Third Proportional to 30,978 and 66,114

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Solution

The third proportional to 30,978 and 66,114 is: 141,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978 : 66,114 = 66,114 : x
  2. Step 2: Convert to fraction form
    30,978/66,114 = 66,114/x
  3. Step 3: Cross multiply
    30,978x = 66,114 × 66,114
  4. Step 4: Simplify right side
    30,978x = 4,371,060,996
  5. Step 5: Solve for x
    x = 4,371,060,996/30,978
  6. Step 6: Final answer
    x = 141,102.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.