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Finding the Third Proportional to 418,124 and 890,185

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Solution

The third proportional to 418,124 and 890,185 is: 1,895,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,124 : 890,185 = 890,185 : x
  2. Step 2: Convert to fraction form
    418,124/890,185 = 890,185/x
  3. Step 3: Cross multiply
    418,124x = 890,185 × 890,185
  4. Step 4: Simplify right side
    418,124x = 792,429,334,225
  5. Step 5: Solve for x
    x = 792,429,334,225/418,124
  6. Step 6: Final answer
    x = 1,895,201.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.