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Finding the Third Proportional to 259,424 and 531,720

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Solution

The third proportional to 259,424 and 531,720 is: 1,089,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,424 : 531,720 = 531,720 : x
  2. Step 2: Convert to fraction form
    259,424/531,720 = 531,720/x
  3. Step 3: Cross multiply
    259,424x = 531,720 × 531,720
  4. Step 4: Simplify right side
    259,424x = 282,726,158,400
  5. Step 5: Solve for x
    x = 282,726,158,400/259,424
  6. Step 6: Final answer
    x = 1,089,822.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.