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Finding the Third Proportional to 145,172 and 303,647

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Solution

The third proportional to 145,172 and 303,647 is: 635,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,172 : 303,647 = 303,647 : x
  2. Step 2: Convert to fraction form
    145,172/303,647 = 303,647/x
  3. Step 3: Cross multiply
    145,172x = 303,647 × 303,647
  4. Step 4: Simplify right side
    145,172x = 92,201,500,609
  5. Step 5: Solve for x
    x = 92,201,500,609/145,172
  6. Step 6: Final answer
    x = 635,119.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.