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Finding the Third Proportional to 311,212.50 and 480,639

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Solution

The third proportional to 311,212.50 and 480,639 is: 742,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,212.50 : 480,639 = 480,639 : x
  2. Step 2: Convert to fraction form
    311,212.50/480,639 = 480,639/x
  3. Step 3: Cross multiply
    311,212.50x = 480,639 × 480,639
  4. Step 4: Simplify right side
    311,212.50x = 231,013,848,321
  5. Step 5: Solve for x
    x = 231,013,848,321/311,212.50
  6. Step 6: Final answer
    x = 742,302.60

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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.