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Finding the Third Proportional to 259,381.62 and 531,577.69

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Solution

The third proportional to 259,381.62 and 531,577.69 is: 1,089,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,381.62 : 531,577.69 = 531,577.69 : x
  2. Step 2: Convert to fraction form
    259,381.62/531,577.69 = 531,577.69/x
  3. Step 3: Cross multiply
    259,381.62x = 531,577.69 × 531,577.69
  4. Step 4: Simplify right side
    259,381.62x = 282,574,837,847.85
  5. Step 5: Solve for x
    x = 282,574,837,847.85/259,381.62
  6. Step 6: Final answer
    x = 1,089,417.36

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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.