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Finding the Third Proportional to 66,941 and 139,432

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Solution

The third proportional to 66,941 and 139,432 is: 290,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,941 : 139,432 = 139,432 : x
  2. Step 2: Convert to fraction form
    66,941/139,432 = 139,432/x
  3. Step 3: Cross multiply
    66,941x = 139,432 × 139,432
  4. Step 4: Simplify right side
    66,941x = 19,441,282,624
  5. Step 5: Solve for x
    x = 19,441,282,624/66,941
  6. Step 6: Final answer
    x = 290,424.14

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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.