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Finding the Third Proportional to 147,821 and 306,141

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Solution

The third proportional to 147,821 and 306,141 is: 634,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,821 : 306,141 = 306,141 : x
  2. Step 2: Convert to fraction form
    147,821/306,141 = 306,141/x
  3. Step 3: Cross multiply
    147,821x = 306,141 × 306,141
  4. Step 4: Simplify right side
    147,821x = 93,722,311,881
  5. Step 5: Solve for x
    x = 93,722,311,881/147,821
  6. Step 6: Final answer
    x = 634,025.69

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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.