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Finding the Third Proportional to 439,014 and 890,138

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Solution

The third proportional to 439,014 and 890,138 is: 1,804,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,014 : 890,138 = 890,138 : x
  2. Step 2: Convert to fraction form
    439,014/890,138 = 890,138/x
  3. Step 3: Cross multiply
    439,014x = 890,138 × 890,138
  4. Step 4: Simplify right side
    439,014x = 792,345,659,044
  5. Step 5: Solve for x
    x = 792,345,659,044/439,014
  6. Step 6: Final answer
    x = 1,804,830.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.