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Finding the Third Proportional to 143,028 and 305,048

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Solution

The third proportional to 143,028 and 305,048 is: 650,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,028 : 305,048 = 305,048 : x
  2. Step 2: Convert to fraction form
    143,028/305,048 = 305,048/x
  3. Step 3: Cross multiply
    143,028x = 305,048 × 305,048
  4. Step 4: Simplify right side
    143,028x = 93,054,282,304
  5. Step 5: Solve for x
    x = 93,054,282,304/143,028
  6. Step 6: Final answer
    x = 650,601.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.