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Finding the Third Proportional to 393,486 and 594,909

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Solution

The third proportional to 393,486 and 594,909 is: 899,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,486 : 594,909 = 594,909 : x
  2. Step 2: Convert to fraction form
    393,486/594,909 = 594,909/x
  3. Step 3: Cross multiply
    393,486x = 594,909 × 594,909
  4. Step 4: Simplify right side
    393,486x = 353,916,718,281
  5. Step 5: Solve for x
    x = 353,916,718,281/393,486
  6. Step 6: Final answer
    x = 899,439.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.