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Finding the Third Proportional to 66,204 and 139,216

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Solution

The third proportional to 66,204 and 139,216 is: 292,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,204 : 139,216 = 139,216 : x
  2. Step 2: Convert to fraction form
    66,204/139,216 = 139,216/x
  3. Step 3: Cross multiply
    66,204x = 139,216 × 139,216
  4. Step 4: Simplify right side
    66,204x = 19,381,094,656
  5. Step 5: Solve for x
    x = 19,381,094,656/66,204
  6. Step 6: Final answer
    x = 292,748.09

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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.