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Finding the Third Proportional to 408,690 and 890,946

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Solution

The third proportional to 408,690 and 890,946 is: 1,942,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,690 : 890,946 = 890,946 : x
  2. Step 2: Convert to fraction form
    408,690/890,946 = 890,946/x
  3. Step 3: Cross multiply
    408,690x = 890,946 × 890,946
  4. Step 4: Simplify right side
    408,690x = 793,784,774,916
  5. Step 5: Solve for x
    x = 793,784,774,916/408,690
  6. Step 6: Final answer
    x = 1,942,266.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.