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Finding the Third Proportional to 393,909 and 590,715

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Solution

The third proportional to 393,909 and 590,715 is: 885,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,909 : 590,715 = 590,715 : x
  2. Step 2: Convert to fraction form
    393,909/590,715 = 590,715/x
  3. Step 3: Cross multiply
    393,909x = 590,715 × 590,715
  4. Step 4: Simplify right side
    393,909x = 348,944,211,225
  5. Step 5: Solve for x
    x = 348,944,211,225/393,909
  6. Step 6: Final answer
    x = 885,849.81

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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.