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Finding the Third Proportional to 165,310 and 356,858

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Solution

The third proportional to 165,310 and 356,858 is: 770,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,310 : 356,858 = 356,858 : x
  2. Step 2: Convert to fraction form
    165,310/356,858 = 356,858/x
  3. Step 3: Cross multiply
    165,310x = 356,858 × 356,858
  4. Step 4: Simplify right side
    165,310x = 127,347,632,164
  5. Step 5: Solve for x
    x = 127,347,632,164/165,310
  6. Step 6: Final answer
    x = 770,356.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.