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Finding the Third Proportional to 133,078.50 and 288,301.50

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Solution

The third proportional to 133,078.50 and 288,301.50 is: 624,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078.50 : 288,301.50 = 288,301.50 : x
  2. Step 2: Convert to fraction form
    133,078.50/288,301.50 = 288,301.50/x
  3. Step 3: Cross multiply
    133,078.50x = 288,301.50 × 288,301.50
  4. Step 4: Simplify right side
    133,078.50x = 83,117,754,902.25
  5. Step 5: Solve for x
    x = 83,117,754,902.25/133,078.50
  6. Step 6: Final answer
    x = 624,576.88

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