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Finding the Third Proportional to 215,029.50 and 300,754.50

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Solution

The third proportional to 215,029.50 and 300,754.50 is: 420,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,029.50 : 300,754.50 = 300,754.50 : x
  2. Step 2: Convert to fraction form
    215,029.50/300,754.50 = 300,754.50/x
  3. Step 3: Cross multiply
    215,029.50x = 300,754.50 × 300,754.50
  4. Step 4: Simplify right side
    215,029.50x = 90,453,269,270.25
  5. Step 5: Solve for x
    x = 90,453,269,270.25/215,029.50
  6. Step 6: Final answer
    x = 420,655.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.