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Finding the Third Proportional to 413,619 and 911,040

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Solution

The third proportional to 413,619 and 911,040 is: 2,006,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,619 : 911,040 = 911,040 : x
  2. Step 2: Convert to fraction form
    413,619/911,040 = 911,040/x
  3. Step 3: Cross multiply
    413,619x = 911,040 × 911,040
  4. Step 4: Simplify right side
    413,619x = 829,993,881,600
  5. Step 5: Solve for x
    x = 829,993,881,600/413,619
  6. Step 6: Final answer
    x = 2,006,662.85

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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.