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Finding the Third Proportional to 64,167,198 and 138,561,540

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Solution

The third proportional to 64,167,198 and 138,561,540 is: 299,207,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167,198 : 138,561,540 = 138,561,540 : x
  2. Step 2: Convert to fraction form
    64,167,198/138,561,540 = 138,561,540/x
  3. Step 3: Cross multiply
    64,167,198x = 138,561,540 × 138,561,540
  4. Step 4: Simplify right side
    64,167,198x = 19,199,300,367,171,600
  5. Step 5: Solve for x
    x = 19,199,300,367,171,600/64,167,198
  6. Step 6: Final answer
    x = 299,207,398.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.