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Finding the Third Proportional to 400,858 and 616,408

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Solution

The third proportional to 400,858 and 616,408 is: 947,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,858 : 616,408 = 616,408 : x
  2. Step 2: Convert to fraction form
    400,858/616,408 = 616,408/x
  3. Step 3: Cross multiply
    400,858x = 616,408 × 616,408
  4. Step 4: Simplify right side
    400,858x = 379,958,822,464
  5. Step 5: Solve for x
    x = 379,958,822,464/400,858
  6. Step 6: Final answer
    x = 947,863.89

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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.