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Finding the Third Proportional to 378,368 and 814,132

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Solution

The third proportional to 378,368 and 814,132 is: 1,751,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,368 : 814,132 = 814,132 : x
  2. Step 2: Convert to fraction form
    378,368/814,132 = 814,132/x
  3. Step 3: Cross multiply
    378,368x = 814,132 × 814,132
  4. Step 4: Simplify right side
    378,368x = 662,810,913,424
  5. Step 5: Solve for x
    x = 662,810,913,424/378,368
  6. Step 6: Final answer
    x = 1,751,762.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.