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Finding the Third Proportional to 392,888 and 855,778

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Solution

The third proportional to 392,888 and 855,778 is: 1,864,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,888 : 855,778 = 855,778 : x
  2. Step 2: Convert to fraction form
    392,888/855,778 = 855,778/x
  3. Step 3: Cross multiply
    392,888x = 855,778 × 855,778
  4. Step 4: Simplify right side
    392,888x = 732,355,985,284
  5. Step 5: Solve for x
    x = 732,355,985,284/392,888
  6. Step 6: Final answer
    x = 1,864,032.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.