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Finding the Third Proportional to 133,356.50 and 289,608.50

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Solution

The third proportional to 133,356.50 and 289,608.50 is: 628,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,356.50 : 289,608.50 = 289,608.50 : x
  2. Step 2: Convert to fraction form
    133,356.50/289,608.50 = 289,608.50/x
  3. Step 3: Cross multiply
    133,356.50x = 289,608.50 × 289,608.50
  4. Step 4: Simplify right side
    133,356.50x = 83,873,083,272.25
  5. Step 5: Solve for x
    x = 83,873,083,272.25/133,356.50
  6. Step 6: Final answer
    x = 628,938.85

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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.