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Finding the Third Proportional to 2,906,166 and 3,989,376

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Solution

The third proportional to 2,906,166 and 3,989,376 is: 5,476,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,166 : 3,989,376 = 3,989,376 : x
  2. Step 2: Convert to fraction form
    2,906,166/3,989,376 = 3,989,376/x
  3. Step 3: Cross multiply
    2,906,166x = 3,989,376 × 3,989,376
  4. Step 4: Simplify right side
    2,906,166x = 15,915,120,869,376
  5. Step 5: Solve for x
    x = 15,915,120,869,376/2,906,166
  6. Step 6: Final answer
    x = 5,476,328.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.