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Finding the Third Proportional to 133,405.31 and 288,954

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Solution

The third proportional to 133,405.31 and 288,954 is: 625,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,405.31 : 288,954 = 288,954 : x
  2. Step 2: Convert to fraction form
    133,405.31/288,954 = 288,954/x
  3. Step 3: Cross multiply
    133,405.31x = 288,954 × 288,954
  4. Step 4: Simplify right side
    133,405.31x = 83,494,414,116
  5. Step 5: Solve for x
    x = 83,494,414,116/133,405.31
  6. Step 6: Final answer
    x = 625,870.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.