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Finding the Third Proportional to 66,056,162 and 138,135,322

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Solution

The third proportional to 66,056,162 and 138,135,322 is: 288,865,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,056,162 : 138,135,322 = 138,135,322 : x
  2. Step 2: Convert to fraction form
    66,056,162/138,135,322 = 138,135,322/x
  3. Step 3: Cross multiply
    66,056,162x = 138,135,322 × 138,135,322
  4. Step 4: Simplify right side
    66,056,162x = 19,081,367,184,043,684
  5. Step 5: Solve for x
    x = 19,081,367,184,043,684/66,056,162
  6. Step 6: Final answer
    x = 288,865,816.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.