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Finding the Third Proportional to 181,688 and 394,480

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Solution

The third proportional to 181,688 and 394,480 is: 856,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,688 : 394,480 = 394,480 : x
  2. Step 2: Convert to fraction form
    181,688/394,480 = 394,480/x
  3. Step 3: Cross multiply
    181,688x = 394,480 × 394,480
  4. Step 4: Simplify right side
    181,688x = 155,614,470,400
  5. Step 5: Solve for x
    x = 155,614,470,400/181,688
  6. Step 6: Final answer
    x = 856,492.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.