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Finding the Third Proportional to 408,066 and 883,920

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Solution

The third proportional to 408,066 and 883,920 is: 1,914,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,066 : 883,920 = 883,920 : x
  2. Step 2: Convert to fraction form
    408,066/883,920 = 883,920/x
  3. Step 3: Cross multiply
    408,066x = 883,920 × 883,920
  4. Step 4: Simplify right side
    408,066x = 781,314,566,400
  5. Step 5: Solve for x
    x = 781,314,566,400/408,066
  6. Step 6: Final answer
    x = 1,914,676.96

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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.