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Finding the Third Proportional to 89,960,945 and 138,215,049

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Solution

The third proportional to 89,960,945 and 138,215,049 is: 212,352,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,960,945 : 138,215,049 = 138,215,049 : x
  2. Step 2: Convert to fraction form
    89,960,945/138,215,049 = 138,215,049/x
  3. Step 3: Cross multiply
    89,960,945x = 138,215,049 × 138,215,049
  4. Step 4: Simplify right side
    89,960,945x = 19,103,399,770,072,400
  5. Step 5: Solve for x
    x = 19,103,399,770,072,400/89,960,945
  6. Step 6: Final answer
    x = 212,352,146.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.