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Finding the Third Proportional to 258,514 and 554,468

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Solution

The third proportional to 258,514 and 554,468 is: 1,189,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,514 : 554,468 = 554,468 : x
  2. Step 2: Convert to fraction form
    258,514/554,468 = 554,468/x
  3. Step 3: Cross multiply
    258,514x = 554,468 × 554,468
  4. Step 4: Simplify right side
    258,514x = 307,434,763,024
  5. Step 5: Solve for x
    x = 307,434,763,024/258,514
  6. Step 6: Final answer
    x = 1,189,238.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.