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Finding the Third Proportional to 36,077,910 and 78,771,307

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Solution

The third proportional to 36,077,910 and 78,771,307 is: 171,986,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,077,910 : 78,771,307 = 78,771,307 : x
  2. Step 2: Convert to fraction form
    36,077,910/78,771,307 = 78,771,307/x
  3. Step 3: Cross multiply
    36,077,910x = 78,771,307 × 78,771,307
  4. Step 4: Simplify right side
    36,077,910x = 6,204,918,806,488,249
  5. Step 5: Solve for x
    x = 6,204,918,806,488,249/36,077,910
  6. Step 6: Final answer
    x = 171,986,647.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.