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Finding the Third Proportional to 258,913 and 555,122

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Solution

The third proportional to 258,913 and 555,122 is: 1,190,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,913 : 555,122 = 555,122 : x
  2. Step 2: Convert to fraction form
    258,913/555,122 = 555,122/x
  3. Step 3: Cross multiply
    258,913x = 555,122 × 555,122
  4. Step 4: Simplify right side
    258,913x = 308,160,434,884
  5. Step 5: Solve for x
    x = 308,160,434,884/258,913
  6. Step 6: Final answer
    x = 1,190,208.43

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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.