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Finding the Third Proportional to 397,893 and 814,169

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Solution

The third proportional to 397,893 and 814,169 is: 1,665,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,893 : 814,169 = 814,169 : x
  2. Step 2: Convert to fraction form
    397,893/814,169 = 814,169/x
  3. Step 3: Cross multiply
    397,893x = 814,169 × 814,169
  4. Step 4: Simplify right side
    397,893x = 662,871,160,561
  5. Step 5: Solve for x
    x = 662,871,160,561/397,893
  6. Step 6: Final answer
    x = 1,665,953.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.