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Finding the Third Proportional to 142,150 and 306,176

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Solution

The third proportional to 142,150 and 306,176 is: 659,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,150 : 306,176 = 306,176 : x
  2. Step 2: Convert to fraction form
    142,150/306,176 = 306,176/x
  3. Step 3: Cross multiply
    142,150x = 306,176 × 306,176
  4. Step 4: Simplify right side
    142,150x = 93,743,742,976
  5. Step 5: Solve for x
    x = 93,743,742,976/142,150
  6. Step 6: Final answer
    x = 659,470.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.