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Finding the Third Proportional to 147,619 and 305,743

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Solution

The third proportional to 147,619 and 305,743 is: 633,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,619 : 305,743 = 305,743 : x
  2. Step 2: Convert to fraction form
    147,619/305,743 = 305,743/x
  3. Step 3: Cross multiply
    147,619x = 305,743 × 305,743
  4. Step 4: Simplify right side
    147,619x = 93,478,782,049
  5. Step 5: Solve for x
    x = 93,478,782,049/147,619
  6. Step 6: Final answer
    x = 633,243.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.