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Finding the Third Proportional to 155,548 and 320,768

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Solution

The third proportional to 155,548 and 320,768 is: 661,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548 : 320,768 = 320,768 : x
  2. Step 2: Convert to fraction form
    155,548/320,768 = 320,768/x
  3. Step 3: Cross multiply
    155,548x = 320,768 × 320,768
  4. Step 4: Simplify right side
    155,548x = 102,892,109,824
  5. Step 5: Solve for x
    x = 102,892,109,824/155,548
  6. Step 6: Final answer
    x = 661,481.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.