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Finding the Third Proportional to 33,844,198 and 51,559,450

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Solution

The third proportional to 33,844,198 and 51,559,450 is: 78,547,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,844,198 : 51,559,450 = 51,559,450 : x
  2. Step 2: Convert to fraction form
    33,844,198/51,559,450 = 51,559,450/x
  3. Step 3: Cross multiply
    33,844,198x = 51,559,450 × 51,559,450
  4. Step 4: Simplify right side
    33,844,198x = 2,658,376,884,302,500
  5. Step 5: Solve for x
    x = 2,658,376,884,302,500/33,844,198
  6. Step 6: Final answer
    x = 78,547,492.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.