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Finding the Third Proportional to 393,678 and 590,410

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Solution

The third proportional to 393,678 and 590,410 is: 885,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,678 : 590,410 = 590,410 : x
  2. Step 2: Convert to fraction form
    393,678/590,410 = 590,410/x
  3. Step 3: Cross multiply
    393,678x = 590,410 × 590,410
  4. Step 4: Simplify right side
    393,678x = 348,583,968,100
  5. Step 5: Solve for x
    x = 348,583,968,100/393,678
  6. Step 6: Final answer
    x = 885,454.53

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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.