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Finding the Third Proportional to 258,512 and 554,464

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Solution

The third proportional to 258,512 and 554,464 is: 1,189,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,512 : 554,464 = 554,464 : x
  2. Step 2: Convert to fraction form
    258,512/554,464 = 554,464/x
  3. Step 3: Cross multiply
    258,512x = 554,464 × 554,464
  4. Step 4: Simplify right side
    258,512x = 307,430,327,296
  5. Step 5: Solve for x
    x = 307,430,327,296/258,512
  6. Step 6: Final answer
    x = 1,189,230.39

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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.