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Finding the Third Proportional to 315,110.75 and 691,447.50

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Solution

The third proportional to 315,110.75 and 691,447.50 is: 1,517,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,110.75 : 691,447.50 = 691,447.50 : x
  2. Step 2: Convert to fraction form
    315,110.75/691,447.50 = 691,447.50/x
  3. Step 3: Cross multiply
    315,110.75x = 691,447.50 × 691,447.50
  4. Step 4: Simplify right side
    315,110.75x = 478,099,645,256.25
  5. Step 5: Solve for x
    x = 478,099,645,256.25/315,110.75
  6. Step 6: Final answer
    x = 1,517,243.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.