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Finding the Third Proportional to 154,236 and 336,489

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Solution

The third proportional to 154,236 and 336,489 is: 734,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,236 : 336,489 = 336,489 : x
  2. Step 2: Convert to fraction form
    154,236/336,489 = 336,489/x
  3. Step 3: Cross multiply
    154,236x = 336,489 × 336,489
  4. Step 4: Simplify right side
    154,236x = 113,224,847,121
  5. Step 5: Solve for x
    x = 113,224,847,121/154,236
  6. Step 6: Final answer
    x = 734,101.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.