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Finding the Third Proportional to 258,540 and 540,504

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Solution

The third proportional to 258,540 and 540,504 is: 1,129,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,540 : 540,504 = 540,504 : x
  2. Step 2: Convert to fraction form
    258,540/540,504 = 540,504/x
  3. Step 3: Cross multiply
    258,540x = 540,504 × 540,504
  4. Step 4: Simplify right side
    258,540x = 292,144,574,016
  5. Step 5: Solve for x
    x = 292,144,574,016/258,540
  6. Step 6: Final answer
    x = 1,129,978.24

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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.