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Finding the Third Proportional to 378,378 and 814,158

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Solution

The third proportional to 378,378 and 814,158 is: 1,751,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,378 : 814,158 = 814,158 : x
  2. Step 2: Convert to fraction form
    378,378/814,158 = 814,158/x
  3. Step 3: Cross multiply
    378,378x = 814,158 × 814,158
  4. Step 4: Simplify right side
    378,378x = 662,853,248,964
  5. Step 5: Solve for x
    x = 662,853,248,964/378,378
  6. Step 6: Final answer
    x = 1,751,828.20

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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.