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Finding the Third Proportional to 66,846 and 139,200

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Solution

The third proportional to 66,846 and 139,200 is: 289,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,846 : 139,200 = 139,200 : x
  2. Step 2: Convert to fraction form
    66,846/139,200 = 139,200/x
  3. Step 3: Cross multiply
    66,846x = 139,200 × 139,200
  4. Step 4: Simplify right side
    66,846x = 19,376,640,000
  5. Step 5: Solve for x
    x = 19,376,640,000/66,846
  6. Step 6: Final answer
    x = 289,869.85

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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.