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Finding the Third Proportional to 263,450 and 577,074

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Solution

The third proportional to 263,450 and 577,074 is: 1,264,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,450 : 577,074 = 577,074 : x
  2. Step 2: Convert to fraction form
    263,450/577,074 = 577,074/x
  3. Step 3: Cross multiply
    263,450x = 577,074 × 577,074
  4. Step 4: Simplify right side
    263,450x = 333,014,401,476
  5. Step 5: Solve for x
    x = 333,014,401,476/263,450
  6. Step 6: Final answer
    x = 1,264,051.63

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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.