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Finding the Third Proportional to 259,430 and 394,461

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Solution

The third proportional to 259,430 and 394,461 is: 599,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,430 : 394,461 = 394,461 : x
  2. Step 2: Convert to fraction form
    259,430/394,461 = 394,461/x
  3. Step 3: Cross multiply
    259,430x = 394,461 × 394,461
  4. Step 4: Simplify right side
    259,430x = 155,599,480,521
  5. Step 5: Solve for x
    x = 155,599,480,521/259,430
  6. Step 6: Final answer
    x = 599,774.43

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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.