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Finding the Third Proportional to 30,036 and 61,976

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Solution

The third proportional to 30,036 and 61,976 is: 127,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,036 : 61,976 = 61,976 : x
  2. Step 2: Convert to fraction form
    30,036/61,976 = 61,976/x
  3. Step 3: Cross multiply
    30,036x = 61,976 × 61,976
  4. Step 4: Simplify right side
    30,036x = 3,841,024,576
  5. Step 5: Solve for x
    x = 3,841,024,576/30,036
  6. Step 6: Final answer
    x = 127,880.70

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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.