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Finding the Third Proportional to 311,203 and 480,619.50

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Solution

The third proportional to 311,203 and 480,619.50 is: 742,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,203 : 480,619.50 = 480,619.50 : x
  2. Step 2: Convert to fraction form
    311,203/480,619.50 = 480,619.50/x
  3. Step 3: Cross multiply
    311,203x = 480,619.50 × 480,619.50
  4. Step 4: Simplify right side
    311,203x = 230,995,103,780.25
  5. Step 5: Solve for x
    x = 230,995,103,780.25/311,203
  6. Step 6: Final answer
    x = 742,265.03

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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.