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Finding the Third Proportional to 66,970 and 140,836

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Solution

The third proportional to 66,970 and 140,836 is: 296,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,970 : 140,836 = 140,836 : x
  2. Step 2: Convert to fraction form
    66,970/140,836 = 140,836/x
  3. Step 3: Cross multiply
    66,970x = 140,836 × 140,836
  4. Step 4: Simplify right side
    66,970x = 19,834,778,896
  5. Step 5: Solve for x
    x = 19,834,778,896/66,970
  6. Step 6: Final answer
    x = 296,174.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.