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Finding the Third Proportional to 30,037 and 61,978

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Solution

The third proportional to 30,037 and 61,978 is: 127,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,037 : 61,978 = 61,978 : x
  2. Step 2: Convert to fraction form
    30,037/61,978 = 61,978/x
  3. Step 3: Cross multiply
    30,037x = 61,978 × 61,978
  4. Step 4: Simplify right side
    30,037x = 3,841,272,484
  5. Step 5: Solve for x
    x = 3,841,272,484/30,037
  6. Step 6: Final answer
    x = 127,884.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.