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Finding the Third Proportional to 668,408 and 1,391,895

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Solution

The third proportional to 668,408 and 1,391,895 is: 2,898,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,408 : 1,391,895 = 1,391,895 : x
  2. Step 2: Convert to fraction form
    668,408/1,391,895 = 1,391,895/x
  3. Step 3: Cross multiply
    668,408x = 1,391,895 × 1,391,895
  4. Step 4: Simplify right side
    668,408x = 1,937,371,691,025
  5. Step 5: Solve for x
    x = 1,937,371,691,025/668,408
  6. Step 6: Final answer
    x = 2,898,486.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.