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Finding the Third Proportional to 147,069 and 322,172

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Solution

The third proportional to 147,069 and 322,172 is: 705,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,069 : 322,172 = 322,172 : x
  2. Step 2: Convert to fraction form
    147,069/322,172 = 322,172/x
  3. Step 3: Cross multiply
    147,069x = 322,172 × 322,172
  4. Step 4: Simplify right side
    147,069x = 103,794,797,584
  5. Step 5: Solve for x
    x = 103,794,797,584/147,069
  6. Step 6: Final answer
    x = 705,755.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.