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Finding the Third Proportional to 276,448 and 433,741

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Solution

The third proportional to 276,448 and 433,741 is: 680,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,448 : 433,741 = 433,741 : x
  2. Step 2: Convert to fraction form
    276,448/433,741 = 433,741/x
  3. Step 3: Cross multiply
    276,448x = 433,741 × 433,741
  4. Step 4: Simplify right side
    276,448x = 188,131,255,081
  5. Step 5: Solve for x
    x = 188,131,255,081/276,448
  6. Step 6: Final answer
    x = 680,530.35

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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.