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Finding the Third Proportional to 374,214 and 820,185

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Solution

The third proportional to 374,214 and 820,185 is: 1,797,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,214 : 820,185 = 820,185 : x
  2. Step 2: Convert to fraction form
    374,214/820,185 = 820,185/x
  3. Step 3: Cross multiply
    374,214x = 820,185 × 820,185
  4. Step 4: Simplify right side
    374,214x = 672,703,434,225
  5. Step 5: Solve for x
    x = 672,703,434,225/374,214
  6. Step 6: Final answer
    x = 1,797,643.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.