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Finding the Third Proportional to 259,416 and 531,702

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Solution

The third proportional to 259,416 and 531,702 is: 1,089,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,416 : 531,702 = 531,702 : x
  2. Step 2: Convert to fraction form
    259,416/531,702 = 531,702/x
  3. Step 3: Cross multiply
    259,416x = 531,702 × 531,702
  4. Step 4: Simplify right side
    259,416x = 282,707,016,804
  5. Step 5: Solve for x
    x = 282,707,016,804/259,416
  6. Step 6: Final answer
    x = 1,089,782.50

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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.