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Finding the Third Proportional to 180,019 and 388,919

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Solution

The third proportional to 180,019 and 388,919 is: 840,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,019 : 388,919 = 388,919 : x
  2. Step 2: Convert to fraction form
    180,019/388,919 = 388,919/x
  3. Step 3: Cross multiply
    180,019x = 388,919 × 388,919
  4. Step 4: Simplify right side
    180,019x = 151,257,988,561
  5. Step 5: Solve for x
    x = 151,257,988,561/180,019
  6. Step 6: Final answer
    x = 840,233.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.