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Finding the Third Proportional to 258,082 and 539,816

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Solution

The third proportional to 258,082 and 539,816 is: 1,129,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,082 : 539,816 = 539,816 : x
  2. Step 2: Convert to fraction form
    258,082/539,816 = 539,816/x
  3. Step 3: Cross multiply
    258,082x = 539,816 × 539,816
  4. Step 4: Simplify right side
    258,082x = 291,401,313,856
  5. Step 5: Solve for x
    x = 291,401,313,856/258,082
  6. Step 6: Final answer
    x = 1,129,103.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.