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Finding the Third Proportional to 66,938 and 139,424

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Solution

The third proportional to 66,938 and 139,424 is: 290,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,938 : 139,424 = 139,424 : x
  2. Step 2: Convert to fraction form
    66,938/139,424 = 139,424/x
  3. Step 3: Cross multiply
    66,938x = 139,424 × 139,424
  4. Step 4: Simplify right side
    66,938x = 19,439,051,776
  5. Step 5: Solve for x
    x = 19,439,051,776/66,938
  6. Step 6: Final answer
    x = 290,403.83

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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.