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Finding the Third Proportional to 258,944 and 393,820

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Solution

The third proportional to 258,944 and 393,820 is: 598,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,944 : 393,820 = 393,820 : x
  2. Step 2: Convert to fraction form
    258,944/393,820 = 393,820/x
  3. Step 3: Cross multiply
    258,944x = 393,820 × 393,820
  4. Step 4: Simplify right side
    258,944x = 155,094,192,400
  5. Step 5: Solve for x
    x = 155,094,192,400/258,944
  6. Step 6: Final answer
    x = 598,948.78

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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.