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Finding the Third Proportional to 395,689 and 838,462

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Solution

The third proportional to 395,689 and 838,462 is: 1,776,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,689 : 838,462 = 838,462 : x
  2. Step 2: Convert to fraction form
    395,689/838,462 = 838,462/x
  3. Step 3: Cross multiply
    395,689x = 838,462 × 838,462
  4. Step 4: Simplify right side
    395,689x = 703,018,525,444
  5. Step 5: Solve for x
    x = 703,018,525,444/395,689
  6. Step 6: Final answer
    x = 1,776,694.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.