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Finding the Third Proportional to 114,462.38 and 248,620.69

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Solution

The third proportional to 114,462.38 and 248,620.69 is: 540,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.38 : 248,620.69 = 248,620.69 : x
  2. Step 2: Convert to fraction form
    114,462.38/248,620.69 = 248,620.69/x
  3. Step 3: Cross multiply
    114,462.38x = 248,620.69 × 248,620.69
  4. Step 4: Simplify right side
    114,462.38x = 61,812,246,252.97
  5. Step 5: Solve for x
    x = 61,812,246,252.97/114,462.38
  6. Step 6: Final answer
    x = 540,022.40

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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.