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Finding the Third Proportional to 399,512 and 855,884

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Solution

The third proportional to 399,512 and 855,884 is: 1,833,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,512 : 855,884 = 855,884 : x
  2. Step 2: Convert to fraction form
    399,512/855,884 = 855,884/x
  3. Step 3: Cross multiply
    399,512x = 855,884 × 855,884
  4. Step 4: Simplify right side
    399,512x = 732,537,421,456
  5. Step 5: Solve for x
    x = 732,537,421,456/399,512
  6. Step 6: Final answer
    x = 1,833,580.52

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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.