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Finding the Third Proportional to 395,070 and 851,916

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Solution

The third proportional to 395,070 and 851,916 is: 1,837,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,070 : 851,916 = 851,916 : x
  2. Step 2: Convert to fraction form
    395,070/851,916 = 851,916/x
  3. Step 3: Cross multiply
    395,070x = 851,916 × 851,916
  4. Step 4: Simplify right side
    395,070x = 725,760,871,056
  5. Step 5: Solve for x
    x = 725,760,871,056/395,070
  6. Step 6: Final answer
    x = 1,837,043.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.