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Finding the Third Proportional to 644,589 and 1,366,015

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Solution

The third proportional to 644,589 and 1,366,015 is: 2,894,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,589 : 1,366,015 = 1,366,015 : x
  2. Step 2: Convert to fraction form
    644,589/1,366,015 = 1,366,015/x
  3. Step 3: Cross multiply
    644,589x = 1,366,015 × 1,366,015
  4. Step 4: Simplify right side
    644,589x = 1,865,996,980,225
  5. Step 5: Solve for x
    x = 1,865,996,980,225/644,589
  6. Step 6: Final answer
    x = 2,894,863.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.