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Finding the Third Proportional to 81,048.94 and 130,223.81

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Solution

The third proportional to 81,048.94 and 130,223.81 is: 209,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,048.94 : 130,223.81 = 130,223.81 : x
  2. Step 2: Convert to fraction form
    81,048.94/130,223.81 = 130,223.81/x
  3. Step 3: Cross multiply
    81,048.94x = 130,223.81 × 130,223.81
  4. Step 4: Simplify right side
    81,048.94x = 16,958,241,342.04
  5. Step 5: Solve for x
    x = 16,958,241,342.04/81,048.94
  6. Step 6: Final answer
    x = 209,234.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.