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Finding the Third Proportional to 30,121.69 and 66,153.94

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Solution

The third proportional to 30,121.69 and 66,153.94 is: 145,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,121.69 : 66,153.94 = 66,153.94 : x
  2. Step 2: Convert to fraction form
    30,121.69/66,153.94 = 66,153.94/x
  3. Step 3: Cross multiply
    30,121.69x = 66,153.94 × 66,153.94
  4. Step 4: Simplify right side
    30,121.69x = 4,376,343,446.75
  5. Step 5: Solve for x
    x = 4,376,343,446.75/30,121.69
  6. Step 6: Final answer
    x = 145,288.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.