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Finding the Third Proportional to 198,777 and 301,324.50

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Solution

The third proportional to 198,777 and 301,324.50 is: 456,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,777 : 301,324.50 = 301,324.50 : x
  2. Step 2: Convert to fraction form
    198,777/301,324.50 = 301,324.50/x
  3. Step 3: Cross multiply
    198,777x = 301,324.50 × 301,324.50
  4. Step 4: Simplify right side
    198,777x = 90,796,454,300.25
  5. Step 5: Solve for x
    x = 90,796,454,300.25/198,777
  6. Step 6: Final answer
    x = 456,775.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.