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Finding the Third Proportional to 181,220 and 384,364

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Solution

The third proportional to 181,220 and 384,364 is: 815,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,220 : 384,364 = 384,364 : x
  2. Step 2: Convert to fraction form
    181,220/384,364 = 384,364/x
  3. Step 3: Cross multiply
    181,220x = 384,364 × 384,364
  4. Step 4: Simplify right side
    181,220x = 147,735,684,496
  5. Step 5: Solve for x
    x = 147,735,684,496/181,220
  6. Step 6: Final answer
    x = 815,228.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.