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Finding the Third Proportional to 310,857.75 and 480,022.88

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Solution

The third proportional to 310,857.75 and 480,022.88 is: 741,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,857.75 : 480,022.88 = 480,022.88 : x
  2. Step 2: Convert to fraction form
    310,857.75/480,022.88 = 480,022.88/x
  3. Step 3: Cross multiply
    310,857.75x = 480,022.88 × 480,022.88
  4. Step 4: Simplify right side
    310,857.75x = 230,421,960,523.27
  5. Step 5: Solve for x
    x = 230,421,960,523.27/310,857.75
  6. Step 6: Final answer
    x = 741,245.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.