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Finding the Third Proportional to 270,816 and 421,218

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Solution

The third proportional to 270,816 and 421,218 is: 655,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,816 : 421,218 = 421,218 : x
  2. Step 2: Convert to fraction form
    270,816/421,218 = 421,218/x
  3. Step 3: Cross multiply
    270,816x = 421,218 × 421,218
  4. Step 4: Simplify right side
    270,816x = 177,424,603,524
  5. Step 5: Solve for x
    x = 177,424,603,524/270,816
  6. Step 6: Final answer
    x = 655,148.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.