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Finding the Third Proportional to 392,886 and 855,774

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Solution

The third proportional to 392,886 and 855,774 is: 1,864,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,886 : 855,774 = 855,774 : x
  2. Step 2: Convert to fraction form
    392,886/855,774 = 855,774/x
  3. Step 3: Cross multiply
    392,886x = 855,774 × 855,774
  4. Step 4: Simplify right side
    392,886x = 732,349,139,076
  5. Step 5: Solve for x
    x = 732,349,139,076/392,886
  6. Step 6: Final answer
    x = 1,864,024.52

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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.