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Finding the Third Proportional to 161,728 and 340,208

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Solution

The third proportional to 161,728 and 340,208 is: 715,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,728 : 340,208 = 340,208 : x
  2. Step 2: Convert to fraction form
    161,728/340,208 = 340,208/x
  3. Step 3: Cross multiply
    161,728x = 340,208 × 340,208
  4. Step 4: Simplify right side
    161,728x = 115,741,483,264
  5. Step 5: Solve for x
    x = 115,741,483,264/161,728
  6. Step 6: Final answer
    x = 715,655.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.