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Finding the Third Proportional to 258,114 and 557,739

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Solution

The third proportional to 258,114 and 557,739 is: 1,205,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,114 : 557,739 = 557,739 : x
  2. Step 2: Convert to fraction form
    258,114/557,739 = 557,739/x
  3. Step 3: Cross multiply
    258,114x = 557,739 × 557,739
  4. Step 4: Simplify right side
    258,114x = 311,072,792,121
  5. Step 5: Solve for x
    x = 311,072,792,121/258,114
  6. Step 6: Final answer
    x = 1,205,175.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.