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Finding the Third Proportional to 687,406.50 and 1,510,224.75

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Solution

The third proportional to 687,406.50 and 1,510,224.75 is: 3,317,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,406.50 : 1,510,224.75 = 1,510,224.75 : x
  2. Step 2: Convert to fraction form
    687,406.50/1,510,224.75 = 1,510,224.75/x
  3. Step 3: Cross multiply
    687,406.50x = 1,510,224.75 × 1,510,224.75
  4. Step 4: Simplify right side
    687,406.50x = 2,280,778,795,512.56
  5. Step 5: Solve for x
    x = 2,280,778,795,512.56/687,406.50
  6. Step 6: Final answer
    x = 3,317,947.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.