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Finding the Third Proportional to 179,047 and 388,609

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Solution

The third proportional to 179,047 and 388,609 is: 843,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,047 : 388,609 = 388,609 : x
  2. Step 2: Convert to fraction form
    179,047/388,609 = 388,609/x
  3. Step 3: Cross multiply
    179,047x = 388,609 × 388,609
  4. Step 4: Simplify right side
    179,047x = 151,016,954,881
  5. Step 5: Solve for x
    x = 151,016,954,881/179,047
  6. Step 6: Final answer
    x = 843,448.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.