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Finding the Third Proportional to 143,758 and 205,851

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Solution

The third proportional to 143,758 and 205,851 is: 294,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,758 : 205,851 = 205,851 : x
  2. Step 2: Convert to fraction form
    143,758/205,851 = 205,851/x
  3. Step 3: Cross multiply
    143,758x = 205,851 × 205,851
  4. Step 4: Simplify right side
    143,758x = 42,374,634,201
  5. Step 5: Solve for x
    x = 42,374,634,201/143,758
  6. Step 6: Final answer
    x = 294,763.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.