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Finding the Third Proportional to 408,086 and 889,640

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Solution

The third proportional to 408,086 and 889,640 is: 1,939,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,086 : 889,640 = 889,640 : x
  2. Step 2: Convert to fraction form
    408,086/889,640 = 889,640/x
  3. Step 3: Cross multiply
    408,086x = 889,640 × 889,640
  4. Step 4: Simplify right side
    408,086x = 791,459,329,600
  5. Step 5: Solve for x
    x = 791,459,329,600/408,086
  6. Step 6: Final answer
    x = 1,939,442.49

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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.