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Finding the Third Proportional to 316,105 and 684,697

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Solution

The third proportional to 316,105 and 684,697 is: 1,483,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,105 : 684,697 = 684,697 : x
  2. Step 2: Convert to fraction form
    316,105/684,697 = 684,697/x
  3. Step 3: Cross multiply
    316,105x = 684,697 × 684,697
  4. Step 4: Simplify right side
    316,105x = 468,809,981,809
  5. Step 5: Solve for x
    x = 468,809,981,809/316,105
  6. Step 6: Final answer
    x = 1,483,083.10

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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.