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Finding the Third Proportional to 68,438,081 and 142,537,198

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Solution

The third proportional to 68,438,081 and 142,537,198 is: 296,864,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,438,081 : 142,537,198 = 142,537,198 : x
  2. Step 2: Convert to fraction form
    68,438,081/142,537,198 = 142,537,198/x
  3. Step 3: Cross multiply
    68,438,081x = 142,537,198 × 142,537,198
  4. Step 4: Simplify right side
    68,438,081x = 20,316,852,813,691,204
  5. Step 5: Solve for x
    x = 20,316,852,813,691,204/68,438,081
  6. Step 6: Final answer
    x = 296,864,735.49

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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.