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Finding the Third Proportional to 393,903 and 590,706

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Solution

The third proportional to 393,903 and 590,706 is: 885,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,903 : 590,706 = 590,706 : x
  2. Step 2: Convert to fraction form
    393,903/590,706 = 590,706/x
  3. Step 3: Cross multiply
    393,903x = 590,706 × 590,706
  4. Step 4: Simplify right side
    393,903x = 348,933,578,436
  5. Step 5: Solve for x
    x = 348,933,578,436/393,903
  6. Step 6: Final answer
    x = 885,836.31

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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.