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Finding the Third Proportional to 315,496 and 684,223

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Solution

The third proportional to 315,496 and 684,223 is: 1,483,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,496 : 684,223 = 684,223 : x
  2. Step 2: Convert to fraction form
    315,496/684,223 = 684,223/x
  3. Step 3: Cross multiply
    315,496x = 684,223 × 684,223
  4. Step 4: Simplify right side
    315,496x = 468,161,113,729
  5. Step 5: Solve for x
    x = 468,161,113,729/315,496
  6. Step 6: Final answer
    x = 1,483,889.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.