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Finding the Third Proportional to 142,668 and 305,100

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Solution

The third proportional to 142,668 and 305,100 is: 652,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,668 : 305,100 = 305,100 : x
  2. Step 2: Convert to fraction form
    142,668/305,100 = 305,100/x
  3. Step 3: Cross multiply
    142,668x = 305,100 × 305,100
  4. Step 4: Simplify right side
    142,668x = 93,086,010,000
  5. Step 5: Solve for x
    x = 93,086,010,000/142,668
  6. Step 6: Final answer
    x = 652,465.93

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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.