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Finding the Third Proportional to 321,420 and 485,046

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Solution

The third proportional to 321,420 and 485,046 is: 731,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,420 : 485,046 = 485,046 : x
  2. Step 2: Convert to fraction form
    321,420/485,046 = 485,046/x
  3. Step 3: Cross multiply
    321,420x = 485,046 × 485,046
  4. Step 4: Simplify right side
    321,420x = 235,269,622,116
  5. Step 5: Solve for x
    x = 235,269,622,116/321,420
  6. Step 6: Final answer
    x = 731,969.45

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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.