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Finding the Third Proportional to 114,468.19 and 248,634.56

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Solution

The third proportional to 114,468.19 and 248,634.56 is: 540,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,468.19 : 248,634.56 = 248,634.56 : x
  2. Step 2: Convert to fraction form
    114,468.19/248,634.56 = 248,634.56/x
  3. Step 3: Cross multiply
    114,468.19x = 248,634.56 × 248,634.56
  4. Step 4: Simplify right side
    114,468.19x = 61,819,145,669.57
  5. Step 5: Solve for x
    x = 61,819,145,669.57/114,468.19
  6. Step 6: Final answer
    x = 540,055.25

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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.