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Finding the Third Proportional to 258,939 and 393,813

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Solution

The third proportional to 258,939 and 393,813 is: 598,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,939 : 393,813 = 393,813 : x
  2. Step 2: Convert to fraction form
    258,939/393,813 = 393,813/x
  3. Step 3: Cross multiply
    258,939x = 393,813 × 393,813
  4. Step 4: Simplify right side
    258,939x = 155,088,678,969
  5. Step 5: Solve for x
    x = 155,088,678,969/258,939
  6. Step 6: Final answer
    x = 598,939.05

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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.