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Finding the Third Proportional to 318,568 and 684,356

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Solution

The third proportional to 318,568 and 684,356 is: 1,470,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,568 : 684,356 = 684,356 : x
  2. Step 2: Convert to fraction form
    318,568/684,356 = 684,356/x
  3. Step 3: Cross multiply
    318,568x = 684,356 × 684,356
  4. Step 4: Simplify right side
    318,568x = 468,343,134,736
  5. Step 5: Solve for x
    x = 468,343,134,736/318,568
  6. Step 6: Final answer
    x = 1,470,151.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.