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Finding the Third Proportional to 374,261 and 818,505

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Solution

The third proportional to 374,261 and 818,505 is: 1,790,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,261 : 818,505 = 818,505 : x
  2. Step 2: Convert to fraction form
    374,261/818,505 = 818,505/x
  3. Step 3: Cross multiply
    374,261x = 818,505 × 818,505
  4. Step 4: Simplify right side
    374,261x = 669,950,435,025
  5. Step 5: Solve for x
    x = 669,950,435,025/374,261
  6. Step 6: Final answer
    x = 1,790,062.11

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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.