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Finding the Third Proportional to 345,400 and 814,195

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Solution

The third proportional to 345,400 and 814,195 is: 1,919,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,400 : 814,195 = 814,195 : x
  2. Step 2: Convert to fraction form
    345,400/814,195 = 814,195/x
  3. Step 3: Cross multiply
    345,400x = 814,195 × 814,195
  4. Step 4: Simplify right side
    345,400x = 662,913,498,025
  5. Step 5: Solve for x
    x = 662,913,498,025/345,400
  6. Step 6: Final answer
    x = 1,919,263.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.