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Finding the Third Proportional to 4,006,286 and 8,489,298

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Solution

The third proportional to 4,006,286 and 8,489,298 is: 17,988,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006,286 : 8,489,298 = 8,489,298 : x
  2. Step 2: Convert to fraction form
    4,006,286/8,489,298 = 8,489,298/x
  3. Step 3: Cross multiply
    4,006,286x = 8,489,298 × 8,489,298
  4. Step 4: Simplify right side
    4,006,286x = 72,068,180,532,804
  5. Step 5: Solve for x
    x = 72,068,180,532,804/4,006,286
  6. Step 6: Final answer
    x = 17,988,775.77

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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.