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Finding the Third Proportional to 66,727 and 103,918

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Solution

The third proportional to 66,727 and 103,918 is: 161,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,727 : 103,918 = 103,918 : x
  2. Step 2: Convert to fraction form
    66,727/103,918 = 103,918/x
  3. Step 3: Cross multiply
    66,727x = 103,918 × 103,918
  4. Step 4: Simplify right side
    66,727x = 10,798,950,724
  5. Step 5: Solve for x
    x = 10,798,950,724/66,727
  6. Step 6: Final answer
    x = 161,837.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.