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Finding the Third Proportional to 399,640 and 843,888

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Solution

The third proportional to 399,640 and 843,888 is: 1,781,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,640 : 843,888 = 843,888 : x
  2. Step 2: Convert to fraction form
    399,640/843,888 = 843,888/x
  3. Step 3: Cross multiply
    399,640x = 843,888 × 843,888
  4. Step 4: Simplify right side
    399,640x = 712,146,956,544
  5. Step 5: Solve for x
    x = 712,146,956,544/399,640
  6. Step 6: Final answer
    x = 1,781,971.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.