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Finding the Third Proportional to 66,992 and 139,496.75

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Solution

The third proportional to 66,992 and 139,496.75 is: 290,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,992 : 139,496.75 = 139,496.75 : x
  2. Step 2: Convert to fraction form
    66,992/139,496.75 = 139,496.75/x
  3. Step 3: Cross multiply
    66,992x = 139,496.75 × 139,496.75
  4. Step 4: Simplify right side
    66,992x = 19,459,343,260.56
  5. Step 5: Solve for x
    x = 19,459,343,260.56/66,992
  6. Step 6: Final answer
    x = 290,472.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.