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Finding the Third Proportional to 258,914.50 and 555,125

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Solution

The third proportional to 258,914.50 and 555,125 is: 1,190,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,914.50 : 555,125 = 555,125 : x
  2. Step 2: Convert to fraction form
    258,914.50/555,125 = 555,125/x
  3. Step 3: Cross multiply
    258,914.50x = 555,125 × 555,125
  4. Step 4: Simplify right side
    258,914.50x = 308,163,765,625
  5. Step 5: Solve for x
    x = 308,163,765,625/258,914.50
  6. Step 6: Final answer
    x = 1,190,214.40

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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.