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Finding the Third Proportional to 321,430 and 485,062

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Solution

The third proportional to 321,430 and 485,062 is: 731,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,430 : 485,062 = 485,062 : x
  2. Step 2: Convert to fraction form
    321,430/485,062 = 485,062/x
  3. Step 3: Cross multiply
    321,430x = 485,062 × 485,062
  4. Step 4: Simplify right side
    321,430x = 235,285,143,844
  5. Step 5: Solve for x
    x = 235,285,143,844/321,430
  6. Step 6: Final answer
    x = 731,994.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.