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Finding the Third Proportional to 165,365 and 356,920

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Solution

The third proportional to 165,365 and 356,920 is: 770,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,365 : 356,920 = 356,920 : x
  2. Step 2: Convert to fraction form
    165,365/356,920 = 356,920/x
  3. Step 3: Cross multiply
    165,365x = 356,920 × 356,920
  4. Step 4: Simplify right side
    165,365x = 127,391,886,400
  5. Step 5: Solve for x
    x = 127,391,886,400/165,365
  6. Step 6: Final answer
    x = 770,367.89

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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.