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Finding the Third Proportional to 315,229.50 and 684,042.75

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Solution

The third proportional to 315,229.50 and 684,042.75 is: 1,484,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,229.50 : 684,042.75 = 684,042.75 : x
  2. Step 2: Convert to fraction form
    315,229.50/684,042.75 = 684,042.75/x
  3. Step 3: Cross multiply
    315,229.50x = 684,042.75 × 684,042.75
  4. Step 4: Simplify right side
    315,229.50x = 467,914,483,827.56
  5. Step 5: Solve for x
    x = 467,914,483,827.56/315,229.50
  6. Step 6: Final answer
    x = 1,484,361.34

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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.