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Finding the Third Proportional to 81,551.13 and 114,842.63

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Solution

The third proportional to 81,551.13 and 114,842.63 is: 161,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,551.13 : 114,842.63 = 114,842.63 : x
  2. Step 2: Convert to fraction form
    81,551.13/114,842.63 = 114,842.63/x
  3. Step 3: Cross multiply
    81,551.13x = 114,842.63 × 114,842.63
  4. Step 4: Simplify right side
    81,551.13x = 13,188,828,516.89
  5. Step 5: Solve for x
    x = 13,188,828,516.89/81,551.13
  6. Step 6: Final answer
    x = 161,724.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.