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Finding the Third Proportional to 259,371 and 531,549

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Solution

The third proportional to 259,371 and 531,549 is: 1,089,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,371 : 531,549 = 531,549 : x
  2. Step 2: Convert to fraction form
    259,371/531,549 = 531,549/x
  3. Step 3: Cross multiply
    259,371x = 531,549 × 531,549
  4. Step 4: Simplify right side
    259,371x = 282,544,339,401
  5. Step 5: Solve for x
    x = 282,544,339,401/259,371
  6. Step 6: Final answer
    x = 1,089,344.37

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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.