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Finding the Third Proportional to 66,078 and 116,631

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Solution

The third proportional to 66,078 and 116,631 is: 205,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,078 : 116,631 = 116,631 : x
  2. Step 2: Convert to fraction form
    66,078/116,631 = 116,631/x
  3. Step 3: Cross multiply
    66,078x = 116,631 × 116,631
  4. Step 4: Simplify right side
    66,078x = 13,602,790,161
  5. Step 5: Solve for x
    x = 13,602,790,161/66,078
  6. Step 6: Final answer
    x = 205,859.59

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.