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Finding the Third Proportional to 198,556 and 424,816

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Solution

The third proportional to 198,556 and 424,816 is: 908,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,556 : 424,816 = 424,816 : x
  2. Step 2: Convert to fraction form
    198,556/424,816 = 424,816/x
  3. Step 3: Cross multiply
    198,556x = 424,816 × 424,816
  4. Step 4: Simplify right side
    198,556x = 180,468,633,856
  5. Step 5: Solve for x
    x = 180,468,633,856/198,556
  6. Step 6: Final answer
    x = 908,905.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.