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Finding the Third Proportional to 142,782.75 and 305,243.44

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Solution

The third proportional to 142,782.75 and 305,243.44 is: 652,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,782.75 : 305,243.44 = 305,243.44 : x
  2. Step 2: Convert to fraction form
    142,782.75/305,243.44 = 305,243.44/x
  3. Step 3: Cross multiply
    142,782.75x = 305,243.44 × 305,243.44
  4. Step 4: Simplify right side
    142,782.75x = 93,173,556,136.82
  5. Step 5: Solve for x
    x = 93,173,556,136.82/142,782.75
  6. Step 6: Final answer
    x = 652,554.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.