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Finding the Third Proportional to 128,992.50 and 185,793.75

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Solution

The third proportional to 128,992.50 and 185,793.75 is: 267,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,992.50 : 185,793.75 = 185,793.75 : x
  2. Step 2: Convert to fraction form
    128,992.50/185,793.75 = 185,793.75/x
  3. Step 3: Cross multiply
    128,992.50x = 185,793.75 × 185,793.75
  4. Step 4: Simplify right side
    128,992.50x = 34,519,317,539.06
  5. Step 5: Solve for x
    x = 34,519,317,539.06/128,992.50
  6. Step 6: Final answer
    x = 267,607.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.