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Finding the Third Proportional to 397,370 and 851,557

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Solution

The third proportional to 397,370 and 851,557 is: 1,824,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,370 : 851,557 = 851,557 : x
  2. Step 2: Convert to fraction form
    397,370/851,557 = 851,557/x
  3. Step 3: Cross multiply
    397,370x = 851,557 × 851,557
  4. Step 4: Simplify right side
    397,370x = 725,149,324,249
  5. Step 5: Solve for x
    x = 725,149,324,249/397,370
  6. Step 6: Final answer
    x = 1,824,871.84

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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.