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Finding the Third Proportional to 258,728 and 556,800

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Solution

The third proportional to 258,728 and 556,800 is: 1,198,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,728 : 556,800 = 556,800 : x
  2. Step 2: Convert to fraction form
    258,728/556,800 = 556,800/x
  3. Step 3: Cross multiply
    258,728x = 556,800 × 556,800
  4. Step 4: Simplify right side
    258,728x = 310,026,240,000
  5. Step 5: Solve for x
    x = 310,026,240,000/258,728
  6. Step 6: Final answer
    x = 1,198,270.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.