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Finding the Third Proportional to 30,615 and 66,698

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Solution

The third proportional to 30,615 and 66,698 is: 145,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615 : 66,698 = 66,698 : x
  2. Step 2: Convert to fraction form
    30,615/66,698 = 66,698/x
  3. Step 3: Cross multiply
    30,615x = 66,698 × 66,698
  4. Step 4: Simplify right side
    30,615x = 4,448,623,204
  5. Step 5: Solve for x
    x = 4,448,623,204/30,615
  6. Step 6: Final answer
    x = 145,308.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.