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Finding the Third Proportional to 400,854 and 616,401

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Solution

The third proportional to 400,854 and 616,401 is: 947,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,854 : 616,401 = 616,401 : x
  2. Step 2: Convert to fraction form
    400,854/616,401 = 616,401/x
  3. Step 3: Cross multiply
    400,854x = 616,401 × 616,401
  4. Step 4: Simplify right side
    400,854x = 379,950,192,801
  5. Step 5: Solve for x
    x = 379,950,192,801/400,854
  6. Step 6: Final answer
    x = 947,851.82

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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.