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Finding the Third Proportional to 149,605.50 and 322,989

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Solution

The third proportional to 149,605.50 and 322,989 is: 697,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,605.50 : 322,989 = 322,989 : x
  2. Step 2: Convert to fraction form
    149,605.50/322,989 = 322,989/x
  3. Step 3: Cross multiply
    149,605.50x = 322,989 × 322,989
  4. Step 4: Simplify right side
    149,605.50x = 104,321,894,121
  5. Step 5: Solve for x
    x = 104,321,894,121/149,605.50
  6. Step 6: Final answer
    x = 697,313.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.