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Finding the Third Proportional to 313,640 and 684,144

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Solution

The third proportional to 313,640 and 684,144 is: 1,492,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,640 : 684,144 = 684,144 : x
  2. Step 2: Convert to fraction form
    313,640/684,144 = 684,144/x
  3. Step 3: Cross multiply
    313,640x = 684,144 × 684,144
  4. Step 4: Simplify right side
    313,640x = 468,053,012,736
  5. Step 5: Solve for x
    x = 468,053,012,736/313,640
  6. Step 6: Final answer
    x = 1,492,325.64

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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.