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Finding the Third Proportional to 66,056,160 and 138,135,318

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Solution

The third proportional to 66,056,160 and 138,135,318 is: 288,865,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,056,160 : 138,135,318 = 138,135,318 : x
  2. Step 2: Convert to fraction form
    66,056,160/138,135,318 = 138,135,318/x
  3. Step 3: Cross multiply
    66,056,160x = 138,135,318 × 138,135,318
  4. Step 4: Simplify right side
    66,056,160x = 19,081,366,078,961,124
  5. Step 5: Solve for x
    x = 19,081,366,078,961,124/66,056,160
  6. Step 6: Final answer
    x = 288,865,808.71

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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.