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Finding the Third Proportional to 311,208.75 and 480,628.69

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Solution

The third proportional to 311,208.75 and 480,628.69 is: 742,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,208.75 : 480,628.69 = 480,628.69 : x
  2. Step 2: Convert to fraction form
    311,208.75/480,628.69 = 480,628.69/x
  3. Step 3: Cross multiply
    311,208.75x = 480,628.69 × 480,628.69
  4. Step 4: Simplify right side
    311,208.75x = 231,003,935,247.97
  5. Step 5: Solve for x
    x = 231,003,935,247.97/311,208.75
  6. Step 6: Final answer
    x = 742,279.69

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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.