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Finding the Third Proportional to 142,144 and 306,164

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Solution

The third proportional to 142,144 and 306,164 is: 659,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,144 : 306,164 = 306,164 : x
  2. Step 2: Convert to fraction form
    142,144/306,164 = 306,164/x
  3. Step 3: Cross multiply
    142,144x = 306,164 × 306,164
  4. Step 4: Simplify right side
    142,144x = 93,736,394,896
  5. Step 5: Solve for x
    x = 93,736,394,896/142,144
  6. Step 6: Final answer
    x = 659,446.72

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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.