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Finding the Third Proportional to 205,780,448,538 and 445,755,239,343

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Solution

The third proportional to 205,780,448,538 and 445,755,239,343 is: 965,581,204,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,780,448,538 : 445,755,239,343 = 445,755,239,343 : x
  2. Step 2: Convert to fraction form
    205,780,448,538/445,755,239,343 = 445,755,239,343/x
  3. Step 3: Cross multiply
    205,780,448,538x = 445,755,239,343 × 445,755,239,343
  4. Step 4: Simplify right side
    205,780,448,538x = 198,697,733,401,735,212,302,336
  5. Step 5: Solve for x
    x = 198,697,733,401,735,212,302,336/205,780,448,538
  6. Step 6: Final answer
    x = 965,581,204,693.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.