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Finding the Third Proportional to 81,790.50 and 119,985

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Solution

The third proportional to 81,790.50 and 119,985 is: 176,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,790.50 : 119,985 = 119,985 : x
  2. Step 2: Convert to fraction form
    81,790.50/119,985 = 119,985/x
  3. Step 3: Cross multiply
    81,790.50x = 119,985 × 119,985
  4. Step 4: Simplify right side
    81,790.50x = 14,396,400,225
  5. Step 5: Solve for x
    x = 14,396,400,225/81,790.50
  6. Step 6: Final answer
    x = 176,015.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.