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Finding the Third Proportional to 258,957 and 393,840

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Solution

The third proportional to 258,957 and 393,840 is: 598,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,957 : 393,840 = 393,840 : x
  2. Step 2: Convert to fraction form
    258,957/393,840 = 393,840/x
  3. Step 3: Cross multiply
    258,957x = 393,840 × 393,840
  4. Step 4: Simplify right side
    258,957x = 155,109,945,600
  5. Step 5: Solve for x
    x = 155,109,945,600/258,957
  6. Step 6: Final answer
    x = 598,979.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.