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Finding the Third Proportional to 392,353.50 and 555,334.50

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Solution

The third proportional to 392,353.50 and 555,334.50 is: 786,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,353.50 : 555,334.50 = 555,334.50 : x
  2. Step 2: Convert to fraction form
    392,353.50/555,334.50 = 555,334.50/x
  3. Step 3: Cross multiply
    392,353.50x = 555,334.50 × 555,334.50
  4. Step 4: Simplify right side
    392,353.50x = 308,396,406,890.25
  5. Step 5: Solve for x
    x = 308,396,406,890.25/392,353.50
  6. Step 6: Final answer
    x = 786,016.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.