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Finding the Third Proportional to 408,114 and 886,121

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Solution

The third proportional to 408,114 and 886,121 is: 1,923,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,114 : 886,121 = 886,121 : x
  2. Step 2: Convert to fraction form
    408,114/886,121 = 886,121/x
  3. Step 3: Cross multiply
    408,114x = 886,121 × 886,121
  4. Step 4: Simplify right side
    408,114x = 785,210,426,641
  5. Step 5: Solve for x
    x = 785,210,426,641/408,114
  6. Step 6: Final answer
    x = 1,923,997.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.