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Finding the Third Proportional to 321,130.50 and 451,823.25

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Solution

The third proportional to 321,130.50 and 451,823.25 is: 635,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,130.50 : 451,823.25 = 451,823.25 : x
  2. Step 2: Convert to fraction form
    321,130.50/451,823.25 = 451,823.25/x
  3. Step 3: Cross multiply
    321,130.50x = 451,823.25 × 451,823.25
  4. Step 4: Simplify right side
    321,130.50x = 204,144,249,240.56
  5. Step 5: Solve for x
    x = 204,144,249,240.56/321,130.50
  6. Step 6: Final answer
    x = 635,704.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.