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Finding the Third Proportional to 414,408 and 639,918

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Solution

The third proportional to 414,408 and 639,918 is: 988,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,408 : 639,918 = 639,918 : x
  2. Step 2: Convert to fraction form
    414,408/639,918 = 639,918/x
  3. Step 3: Cross multiply
    414,408x = 639,918 × 639,918
  4. Step 4: Simplify right side
    414,408x = 409,495,046,724
  5. Step 5: Solve for x
    x = 409,495,046,724/414,408
  6. Step 6: Final answer
    x = 988,144.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.