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Finding the Third Proportional to 641,983 and 1,518,218

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Solution

The third proportional to 641,983 and 1,518,218 is: 3,590,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,983 : 1,518,218 = 1,518,218 : x
  2. Step 2: Convert to fraction form
    641,983/1,518,218 = 1,518,218/x
  3. Step 3: Cross multiply
    641,983x = 1,518,218 × 1,518,218
  4. Step 4: Simplify right side
    641,983x = 2,304,985,895,524
  5. Step 5: Solve for x
    x = 2,304,985,895,524/641,983
  6. Step 6: Final answer
    x = 3,590,415.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.