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Finding the Third Proportional to 279,904.50 and 599,740.50

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Solution

The third proportional to 279,904.50 and 599,740.50 is: 1,285,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,904.50 : 599,740.50 = 599,740.50 : x
  2. Step 2: Convert to fraction form
    279,904.50/599,740.50 = 599,740.50/x
  3. Step 3: Cross multiply
    279,904.50x = 599,740.50 × 599,740.50
  4. Step 4: Simplify right side
    279,904.50x = 359,688,667,340.25
  5. Step 5: Solve for x
    x = 359,688,667,340.25/279,904.50
  6. Step 6: Final answer
    x = 1,285,040.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.