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Finding the Third Proportional to 129,116.44 and 181,501.56

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Solution

The third proportional to 129,116.44 and 181,501.56 is: 255,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,116.44 : 181,501.56 = 181,501.56 : x
  2. Step 2: Convert to fraction form
    129,116.44/181,501.56 = 181,501.56/x
  3. Step 3: Cross multiply
    129,116.44x = 181,501.56 × 181,501.56
  4. Step 4: Simplify right side
    129,116.44x = 32,942,817,189.94
  5. Step 5: Solve for x
    x = 32,942,817,189.94/129,116.44
  6. Step 6: Final answer
    x = 255,140.38

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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.