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Finding the Third Proportional to 4,197,743 and 8,899,942

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Solution

The third proportional to 4,197,743 and 8,899,942 is: 18,869,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,743 : 8,899,942 = 8,899,942 : x
  2. Step 2: Convert to fraction form
    4,197,743/8,899,942 = 8,899,942/x
  3. Step 3: Cross multiply
    4,197,743x = 8,899,942 × 8,899,942
  4. Step 4: Simplify right side
    4,197,743x = 79,208,967,603,364
  5. Step 5: Solve for x
    x = 79,208,967,603,364/4,197,743
  6. Step 6: Final answer
    x = 18,869,418.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.