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Finding the Third Proportional to 392,215.50 and 552,313.69

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Solution

The third proportional to 392,215.50 and 552,313.69 is: 777,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,215.50 : 552,313.69 = 552,313.69 : x
  2. Step 2: Convert to fraction form
    392,215.50/552,313.69 = 552,313.69/x
  3. Step 3: Cross multiply
    392,215.50x = 552,313.69 × 552,313.69
  4. Step 4: Simplify right side
    392,215.50x = 305,050,409,399.85
  5. Step 5: Solve for x
    x = 305,050,409,399.85/392,215.50
  6. Step 6: Final answer
    x = 777,762.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.