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Finding the Third Proportional to 259,373 and 531,553

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Solution

The third proportional to 259,373 and 531,553 is: 1,089,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,373 : 531,553 = 531,553 : x
  2. Step 2: Convert to fraction form
    259,373/531,553 = 531,553/x
  3. Step 3: Cross multiply
    259,373x = 531,553 × 531,553
  4. Step 4: Simplify right side
    259,373x = 282,548,591,809
  5. Step 5: Solve for x
    x = 282,548,591,809/259,373
  6. Step 6: Final answer
    x = 1,089,352.37

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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.