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Finding the Third Proportional to 194,280 and 420,816

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Solution

The third proportional to 194,280 and 420,816 is: 911,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,280 : 420,816 = 420,816 : x
  2. Step 2: Convert to fraction form
    194,280/420,816 = 420,816/x
  3. Step 3: Cross multiply
    194,280x = 420,816 × 420,816
  4. Step 4: Simplify right side
    194,280x = 177,086,105,856
  5. Step 5: Solve for x
    x = 177,086,105,856/194,280
  6. Step 6: Final answer
    x = 911,499.41

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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.