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Finding the Third Proportional to 258,720 and 389,040

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Solution

The third proportional to 258,720 and 389,040 is: 585,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,720 : 389,040 = 389,040 : x
  2. Step 2: Convert to fraction form
    258,720/389,040 = 389,040/x
  3. Step 3: Cross multiply
    258,720x = 389,040 × 389,040
  4. Step 4: Simplify right side
    258,720x = 151,352,121,600
  5. Step 5: Solve for x
    x = 151,352,121,600/258,720
  6. Step 6: Final answer
    x = 585,003.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.