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Finding the Third Proportional to 147,617 and 305,739

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Solution

The third proportional to 147,617 and 305,739 is: 633,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,617 : 305,739 = 305,739 : x
  2. Step 2: Convert to fraction form
    147,617/305,739 = 305,739/x
  3. Step 3: Cross multiply
    147,617x = 305,739 × 305,739
  4. Step 4: Simplify right side
    147,617x = 93,476,336,121
  5. Step 5: Solve for x
    x = 93,476,336,121/147,617
  6. Step 6: Final answer
    x = 633,235.58

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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.