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Finding the Third Proportional to 258,489 and 378,722.25

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Solution

The third proportional to 258,489 and 378,722.25 is: 554,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,489 : 378,722.25 = 378,722.25 : x
  2. Step 2: Convert to fraction form
    258,489/378,722.25 = 378,722.25/x
  3. Step 3: Cross multiply
    258,489x = 378,722.25 × 378,722.25
  4. Step 4: Simplify right side
    258,489x = 143,430,542,645.06
  5. Step 5: Solve for x
    x = 143,430,542,645.06/258,489
  6. Step 6: Final answer
    x = 554,880.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.