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Finding the Third Proportional to 315,447.75 and 684,135

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Solution

The third proportional to 315,447.75 and 684,135 is: 1,483,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,447.75 : 684,135 = 684,135 : x
  2. Step 2: Convert to fraction form
    315,447.75/684,135 = 684,135/x
  3. Step 3: Cross multiply
    315,447.75x = 684,135 × 684,135
  4. Step 4: Simplify right side
    315,447.75x = 468,040,698,225
  5. Step 5: Solve for x
    x = 468,040,698,225/315,447.75
  6. Step 6: Final answer
    x = 1,483,734.46

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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.