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Finding the Third Proportional to 395,682 and 838,448

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Solution

The third proportional to 395,682 and 838,448 is: 1,776,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,682 : 838,448 = 838,448 : x
  2. Step 2: Convert to fraction form
    395,682/838,448 = 838,448/x
  3. Step 3: Cross multiply
    395,682x = 838,448 × 838,448
  4. Step 4: Simplify right side
    395,682x = 702,995,048,704
  5. Step 5: Solve for x
    x = 702,995,048,704/395,682
  6. Step 6: Final answer
    x = 1,776,666.74

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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.