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Finding the Third Proportional to 198,325 and 302,135.50

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Solution

The third proportional to 198,325 and 302,135.50 is: 460,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,325 : 302,135.50 = 302,135.50 : x
  2. Step 2: Convert to fraction form
    198,325/302,135.50 = 302,135.50/x
  3. Step 3: Cross multiply
    198,325x = 302,135.50 × 302,135.50
  4. Step 4: Simplify right side
    198,325x = 91,285,860,360.25
  5. Step 5: Solve for x
    x = 91,285,860,360.25/198,325
  6. Step 6: Final answer
    x = 460,284.18

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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.