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Finding the Third Proportional to 128,178 and 198,985

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Solution

The third proportional to 128,178 and 198,985 is: 308,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,178 : 198,985 = 198,985 : x
  2. Step 2: Convert to fraction form
    128,178/198,985 = 198,985/x
  3. Step 3: Cross multiply
    128,178x = 198,985 × 198,985
  4. Step 4: Simplify right side
    128,178x = 39,595,030,225
  5. Step 5: Solve for x
    x = 39,595,030,225/128,178
  6. Step 6: Final answer
    x = 308,906.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.