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Finding the Third Proportional to 164,639 and 353,824

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Solution

The third proportional to 164,639 and 353,824 is: 760,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,639 : 353,824 = 353,824 : x
  2. Step 2: Convert to fraction form
    164,639/353,824 = 353,824/x
  3. Step 3: Cross multiply
    164,639x = 353,824 × 353,824
  4. Step 4: Simplify right side
    164,639x = 125,191,422,976
  5. Step 5: Solve for x
    x = 125,191,422,976/164,639
  6. Step 6: Final answer
    x = 760,399.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.