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Finding the Third Proportional to 198,830.50 and 301,141.75

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Solution

The third proportional to 198,830.50 and 301,141.75 is: 456,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,830.50 : 301,141.75 = 301,141.75 : x
  2. Step 2: Convert to fraction form
    198,830.50/301,141.75 = 301,141.75/x
  3. Step 3: Cross multiply
    198,830.50x = 301,141.75 × 301,141.75
  4. Step 4: Simplify right side
    198,830.50x = 90,686,353,593.06
  5. Step 5: Solve for x
    x = 90,686,353,593.06/198,830.50
  6. Step 6: Final answer
    x = 456,098.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.