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Finding the Third Proportional to 258,088 and 539,824

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Solution

The third proportional to 258,088 and 539,824 is: 1,129,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,088 : 539,824 = 539,824 : x
  2. Step 2: Convert to fraction form
    258,088/539,824 = 539,824/x
  3. Step 3: Cross multiply
    258,088x = 539,824 × 539,824
  4. Step 4: Simplify right side
    258,088x = 291,409,950,976
  5. Step 5: Solve for x
    x = 291,409,950,976/258,088
  6. Step 6: Final answer
    x = 1,129,110.81

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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.