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Finding the Third Proportional to 114,472.31 and 248,639.06

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Solution

The third proportional to 114,472.31 and 248,639.06 is: 540,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,472.31 : 248,639.06 = 248,639.06 : x
  2. Step 2: Convert to fraction form
    114,472.31/248,639.06 = 248,639.06/x
  3. Step 3: Cross multiply
    114,472.31x = 248,639.06 × 248,639.06
  4. Step 4: Simplify right side
    114,472.31x = 61,821,383,400.88
  5. Step 5: Solve for x
    x = 61,821,383,400.88/114,472.31
  6. Step 6: Final answer
    x = 540,055.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.