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Finding the Third Proportional to 155,721.94 and 205,749.56

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Solution

The third proportional to 155,721.94 and 205,749.56 is: 271,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,721.94 : 205,749.56 = 205,749.56 : x
  2. Step 2: Convert to fraction form
    155,721.94/205,749.56 = 205,749.56/x
  3. Step 3: Cross multiply
    155,721.94x = 205,749.56 × 205,749.56
  4. Step 4: Simplify right side
    155,721.94x = 42,332,882,468.94
  5. Step 5: Solve for x
    x = 42,332,882,468.94/155,721.94
  6. Step 6: Final answer
    x = 271,849.19

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.