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Finding the Third Proportional to 263,099 and 578,686

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Solution

The third proportional to 263,099 and 578,686 is: 1,272,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,099 : 578,686 = 578,686 : x
  2. Step 2: Convert to fraction form
    263,099/578,686 = 578,686/x
  3. Step 3: Cross multiply
    263,099x = 578,686 × 578,686
  4. Step 4: Simplify right side
    263,099x = 334,877,486,596
  5. Step 5: Solve for x
    x = 334,877,486,596/263,099
  6. Step 6: Final answer
    x = 1,272,819.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.