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Finding the Third Proportional to 320,910 and 498,912

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Solution

The third proportional to 320,910 and 498,912 is: 775,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,910 : 498,912 = 498,912 : x
  2. Step 2: Convert to fraction form
    320,910/498,912 = 498,912/x
  3. Step 3: Cross multiply
    320,910x = 498,912 × 498,912
  4. Step 4: Simplify right side
    320,910x = 248,913,183,744
  5. Step 5: Solve for x
    x = 248,913,183,744/320,910
  6. Step 6: Final answer
    x = 775,647.95

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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.