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Finding the Third Proportional to 71,760.94 and 106,821.28

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Solution

The third proportional to 71,760.94 and 106,821.28 is: 159,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,760.94 : 106,821.28 = 106,821.28 : x
  2. Step 2: Convert to fraction form
    71,760.94/106,821.28 = 106,821.28/x
  3. Step 3: Cross multiply
    71,760.94x = 106,821.28 × 106,821.28
  4. Step 4: Simplify right side
    71,760.94x = 11,410,786,127.89
  5. Step 5: Solve for x
    x = 11,410,786,127.89/71,760.94
  6. Step 6: Final answer
    x = 159,011.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.