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Finding the Third Proportional to 55,075.50 and 120,645.56

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Solution

The third proportional to 55,075.50 and 120,645.56 is: 264,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,075.50 : 120,645.56 = 120,645.56 : x
  2. Step 2: Convert to fraction form
    55,075.50/120,645.56 = 120,645.56/x
  3. Step 3: Cross multiply
    55,075.50x = 120,645.56 × 120,645.56
  4. Step 4: Simplify right side
    55,075.50x = 14,555,351,750.94
  5. Step 5: Solve for x
    x = 14,555,351,750.94/55,075.50
  6. Step 6: Final answer
    x = 264,279.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.