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Finding the Third Proportional to 431,134 and 579,990

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Solution

The third proportional to 431,134 and 579,990 is: 780,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,134 : 579,990 = 579,990 : x
  2. Step 2: Convert to fraction form
    431,134/579,990 = 579,990/x
  3. Step 3: Cross multiply
    431,134x = 579,990 × 579,990
  4. Step 4: Simplify right side
    431,134x = 336,388,400,100
  5. Step 5: Solve for x
    x = 336,388,400,100/431,134
  6. Step 6: Final answer
    x = 780,240.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.