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Finding the Third Proportional to 403,640 and 865,234

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Solution

The third proportional to 403,640 and 865,234 is: 1,854,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,640 : 865,234 = 865,234 : x
  2. Step 2: Convert to fraction form
    403,640/865,234 = 865,234/x
  3. Step 3: Cross multiply
    403,640x = 865,234 × 865,234
  4. Step 4: Simplify right side
    403,640x = 748,629,874,756
  5. Step 5: Solve for x
    x = 748,629,874,756/403,640
  6. Step 6: Final answer
    x = 1,854,696.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.