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Finding the Third Proportional to 2,906,043 and 3,989,217

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Solution

The third proportional to 2,906,043 and 3,989,217 is: 5,476,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,043 : 3,989,217 = 3,989,217 : x
  2. Step 2: Convert to fraction form
    2,906,043/3,989,217 = 3,989,217/x
  3. Step 3: Cross multiply
    2,906,043x = 3,989,217 × 3,989,217
  4. Step 4: Simplify right side
    2,906,043x = 15,913,852,273,089
  5. Step 5: Solve for x
    x = 15,913,852,273,089/2,906,043
  6. Step 6: Final answer
    x = 5,476,124.16

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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.