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Finding the Third Proportional to 320,460 and 498,192

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Solution

The third proportional to 320,460 and 498,192 is: 774,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,460 : 498,192 = 498,192 : x
  2. Step 2: Convert to fraction form
    320,460/498,192 = 498,192/x
  3. Step 3: Cross multiply
    320,460x = 498,192 × 498,192
  4. Step 4: Simplify right side
    320,460x = 248,195,268,864
  5. Step 5: Solve for x
    x = 248,195,268,864/320,460
  6. Step 6: Final answer
    x = 774,496.88

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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.