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Finding the Third Proportional to 258,540 and 539,220

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Solution

The third proportional to 258,540 and 539,220 is: 1,124,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,540 : 539,220 = 539,220 : x
  2. Step 2: Convert to fraction form
    258,540/539,220 = 539,220/x
  3. Step 3: Cross multiply
    258,540x = 539,220 × 539,220
  4. Step 4: Simplify right side
    258,540x = 290,758,208,400
  5. Step 5: Solve for x
    x = 290,758,208,400/258,540
  6. Step 6: Final answer
    x = 1,124,615.95

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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.