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Finding the Third Proportional to 258,057 and 557,634

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Solution

The third proportional to 258,057 and 557,634 is: 1,204,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,057 : 557,634 = 557,634 : x
  2. Step 2: Convert to fraction form
    258,057/557,634 = 557,634/x
  3. Step 3: Cross multiply
    258,057x = 557,634 × 557,634
  4. Step 4: Simplify right side
    258,057x = 310,955,677,956
  5. Step 5: Solve for x
    x = 310,955,677,956/258,057
  6. Step 6: Final answer
    x = 1,204,988.35

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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.