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Finding the Third Proportional to 437,367 and 684,619

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Solution

The third proportional to 437,367 and 684,619 is: 1,071,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,367 : 684,619 = 684,619 : x
  2. Step 2: Convert to fraction form
    437,367/684,619 = 684,619/x
  3. Step 3: Cross multiply
    437,367x = 684,619 × 684,619
  4. Step 4: Simplify right side
    437,367x = 468,703,175,161
  5. Step 5: Solve for x
    x = 468,703,175,161/437,367
  6. Step 6: Final answer
    x = 1,071,647.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.