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Finding the Third Proportional to 413,638 and 911,079

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Solution

The third proportional to 413,638 and 911,079 is: 2,006,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,638 : 911,079 = 911,079 : x
  2. Step 2: Convert to fraction form
    413,638/911,079 = 911,079/x
  3. Step 3: Cross multiply
    413,638x = 911,079 × 911,079
  4. Step 4: Simplify right side
    413,638x = 830,064,944,241
  5. Step 5: Solve for x
    x = 830,064,944,241/413,638
  6. Step 6: Final answer
    x = 2,006,742.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.