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Finding the Third Proportional to 91,760.50 and 129,215.75

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Solution

The third proportional to 91,760.50 and 129,215.75 is: 181,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,760.50 : 129,215.75 = 129,215.75 : x
  2. Step 2: Convert to fraction form
    91,760.50/129,215.75 = 129,215.75/x
  3. Step 3: Cross multiply
    91,760.50x = 129,215.75 × 129,215.75
  4. Step 4: Simplify right side
    91,760.50x = 16,696,710,048.06
  5. Step 5: Solve for x
    x = 16,696,710,048.06/91,760.50
  6. Step 6: Final answer
    x = 181,959.67

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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.