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Finding the Third Proportional to 258,055 and 557,630

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Solution

The third proportional to 258,055 and 557,630 is: 1,204,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,055 : 557,630 = 557,630 : x
  2. Step 2: Convert to fraction form
    258,055/557,630 = 557,630/x
  3. Step 3: Cross multiply
    258,055x = 557,630 × 557,630
  4. Step 4: Simplify right side
    258,055x = 310,951,216,900
  5. Step 5: Solve for x
    x = 310,951,216,900/258,055
  6. Step 6: Final answer
    x = 1,204,980.40

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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.