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Finding the Third Proportional to 203,485.50 and 299,350.69

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Solution

The third proportional to 203,485.50 and 299,350.69 is: 440,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,485.50 : 299,350.69 = 299,350.69 : x
  2. Step 2: Convert to fraction form
    203,485.50/299,350.69 = 299,350.69/x
  3. Step 3: Cross multiply
    203,485.50x = 299,350.69 × 299,350.69
  4. Step 4: Simplify right side
    203,485.50x = 89,610,834,106.72
  5. Step 5: Solve for x
    x = 89,610,834,106.72/203,485.50
  6. Step 6: Final answer
    x = 440,379.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.