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Finding the Third Proportional to 66,865 and 139,330

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Solution

The third proportional to 66,865 and 139,330 is: 290,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,865 : 139,330 = 139,330 : x
  2. Step 2: Convert to fraction form
    66,865/139,330 = 139,330/x
  3. Step 3: Cross multiply
    66,865x = 139,330 × 139,330
  4. Step 4: Simplify right side
    66,865x = 19,412,848,900
  5. Step 5: Solve for x
    x = 19,412,848,900/66,865
  6. Step 6: Final answer
    x = 290,329.00

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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.