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Finding the Third Proportional to 394,315 and 590,807

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Solution

The third proportional to 394,315 and 590,807 is: 885,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,315 : 590,807 = 590,807 : x
  2. Step 2: Convert to fraction form
    394,315/590,807 = 590,807/x
  3. Step 3: Cross multiply
    394,315x = 590,807 × 590,807
  4. Step 4: Simplify right side
    394,315x = 349,052,911,249
  5. Step 5: Solve for x
    x = 349,052,911,249/394,315
  6. Step 6: Final answer
    x = 885,213.37

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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.