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Finding the Third Proportional to 239,704 and 375,990

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Solution

The third proportional to 239,704 and 375,990 is: 589,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,704 : 375,990 = 375,990 : x
  2. Step 2: Convert to fraction form
    239,704/375,990 = 375,990/x
  3. Step 3: Cross multiply
    239,704x = 375,990 × 375,990
  4. Step 4: Simplify right side
    239,704x = 141,368,480,100
  5. Step 5: Solve for x
    x = 141,368,480,100/239,704
  6. Step 6: Final answer
    x = 589,762.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.