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Finding the Third Proportional to 413,863 and 641,084

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Solution

The third proportional to 413,863 and 641,084 is: 993,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,863 : 641,084 = 641,084 : x
  2. Step 2: Convert to fraction form
    413,863/641,084 = 641,084/x
  3. Step 3: Cross multiply
    413,863x = 641,084 × 641,084
  4. Step 4: Simplify right side
    413,863x = 410,988,695,056
  5. Step 5: Solve for x
    x = 410,988,695,056/413,863
  6. Step 6: Final answer
    x = 993,054.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.