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Finding the Third Proportional to 320,595 and 498,393

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Solution

The third proportional to 320,595 and 498,393 is: 774,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,595 : 498,393 = 498,393 : x
  2. Step 2: Convert to fraction form
    320,595/498,393 = 498,393/x
  3. Step 3: Cross multiply
    320,595x = 498,393 × 498,393
  4. Step 4: Simplify right side
    320,595x = 248,395,582,449
  5. Step 5: Solve for x
    x = 248,395,582,449/320,595
  6. Step 6: Final answer
    x = 774,795.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.