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Finding the Third Proportional to 30,828.09 and 66,941.44

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Solution

The third proportional to 30,828.09 and 66,941.44 is: 145,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.09 : 66,941.44 = 66,941.44 : x
  2. Step 2: Convert to fraction form
    30,828.09/66,941.44 = 66,941.44/x
  3. Step 3: Cross multiply
    30,828.09x = 66,941.44 × 66,941.44
  4. Step 4: Simplify right side
    30,828.09x = 4,481,156,054.57
  5. Step 5: Solve for x
    x = 4,481,156,054.57/30,828.09
  6. Step 6: Final answer
    x = 145,359.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.