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Finding the Third Proportional to 81,216 and 122,178.38

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Solution

The third proportional to 81,216 and 122,178.38 is: 183,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,216 : 122,178.38 = 122,178.38 : x
  2. Step 2: Convert to fraction form
    81,216/122,178.38 = 122,178.38/x
  3. Step 3: Cross multiply
    81,216x = 122,178.38 × 122,178.38
  4. Step 4: Simplify right side
    81,216x = 14,927,555,317.64
  5. Step 5: Solve for x
    x = 14,927,555,317.64/81,216
  6. Step 6: Final answer
    x = 183,800.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.