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Finding the Third Proportional to 263,343 and 583,628

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Solution

The third proportional to 263,343 and 583,628 is: 1,293,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,343 : 583,628 = 583,628 : x
  2. Step 2: Convert to fraction form
    263,343/583,628 = 583,628/x
  3. Step 3: Cross multiply
    263,343x = 583,628 × 583,628
  4. Step 4: Simplify right side
    263,343x = 340,621,642,384
  5. Step 5: Solve for x
    x = 340,621,642,384/263,343
  6. Step 6: Final answer
    x = 1,293,452.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.