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Finding the Third Proportional to 314,364 and 684,444

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Solution

The third proportional to 314,364 and 684,444 is: 1,490,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,364 : 684,444 = 684,444 : x
  2. Step 2: Convert to fraction form
    314,364/684,444 = 684,444/x
  3. Step 3: Cross multiply
    314,364x = 684,444 × 684,444
  4. Step 4: Simplify right side
    314,364x = 468,463,589,136
  5. Step 5: Solve for x
    x = 468,463,589,136/314,364
  6. Step 6: Final answer
    x = 1,490,194.77

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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.