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Finding the Third Proportional to 154,311 and 336,684

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Solution

The third proportional to 154,311 and 336,684 is: 734,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,311 : 336,684 = 336,684 : x
  2. Step 2: Convert to fraction form
    154,311/336,684 = 336,684/x
  3. Step 3: Cross multiply
    154,311x = 336,684 × 336,684
  4. Step 4: Simplify right side
    154,311x = 113,356,115,856
  5. Step 5: Solve for x
    x = 113,356,115,856/154,311
  6. Step 6: Final answer
    x = 734,595.17

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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.