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Finding the Third Proportional to 66,781 and 141,014

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Solution

The third proportional to 66,781 and 141,014 is: 297,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,781 : 141,014 = 141,014 : x
  2. Step 2: Convert to fraction form
    66,781/141,014 = 141,014/x
  3. Step 3: Cross multiply
    66,781x = 141,014 × 141,014
  4. Step 4: Simplify right side
    66,781x = 19,884,948,196
  5. Step 5: Solve for x
    x = 19,884,948,196/66,781
  6. Step 6: Final answer
    x = 297,763.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.