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Finding the Third Proportional to 276,716 and 415,075

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Solution

The third proportional to 276,716 and 415,075 is: 622,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,716 : 415,075 = 415,075 : x
  2. Step 2: Convert to fraction form
    276,716/415,075 = 415,075/x
  3. Step 3: Cross multiply
    276,716x = 415,075 × 415,075
  4. Step 4: Simplify right side
    276,716x = 172,287,255,625
  5. Step 5: Solve for x
    x = 172,287,255,625/276,716
  6. Step 6: Final answer
    x = 622,614.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.