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Finding the Third Proportional to 400,010 and 584,218

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Solution

The third proportional to 400,010 and 584,218 is: 853,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,010 : 584,218 = 584,218 : x
  2. Step 2: Convert to fraction form
    400,010/584,218 = 584,218/x
  3. Step 3: Cross multiply
    400,010x = 584,218 × 584,218
  4. Step 4: Simplify right side
    400,010x = 341,310,671,524
  5. Step 5: Solve for x
    x = 341,310,671,524/400,010
  6. Step 6: Final answer
    x = 853,255.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.