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Finding the Third Proportional to 165,160 and 356,816

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Solution

The third proportional to 165,160 and 356,816 is: 770,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,160 : 356,816 = 356,816 : x
  2. Step 2: Convert to fraction form
    165,160/356,816 = 356,816/x
  3. Step 3: Cross multiply
    165,160x = 356,816 × 356,816
  4. Step 4: Simplify right side
    165,160x = 127,317,657,856
  5. Step 5: Solve for x
    x = 127,317,657,856/165,160
  6. Step 6: Final answer
    x = 770,874.65

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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.