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Finding the Third Proportional to 320,892 and 498,888

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Solution

The third proportional to 320,892 and 498,888 is: 775,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,892 : 498,888 = 498,888 : x
  2. Step 2: Convert to fraction form
    320,892/498,888 = 498,888/x
  3. Step 3: Cross multiply
    320,892x = 498,888 × 498,888
  4. Step 4: Simplify right side
    320,892x = 248,889,236,544
  5. Step 5: Solve for x
    x = 248,889,236,544/320,892
  6. Step 6: Final answer
    x = 775,616.83

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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.