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Finding the Third Proportional to 273,424.50 and 428,057.25

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Solution

The third proportional to 273,424.50 and 428,057.25 is: 670,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,424.50 : 428,057.25 = 428,057.25 : x
  2. Step 2: Convert to fraction form
    273,424.50/428,057.25 = 428,057.25/x
  3. Step 3: Cross multiply
    273,424.50x = 428,057.25 × 428,057.25
  4. Step 4: Simplify right side
    273,424.50x = 183,233,009,277.56
  5. Step 5: Solve for x
    x = 183,233,009,277.56/273,424.50
  6. Step 6: Final answer
    x = 670,141.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.