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Finding the Third Proportional to 321,025.50 and 480,658.50

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Solution

The third proportional to 321,025.50 and 480,658.50 is: 719,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,025.50 : 480,658.50 = 480,658.50 : x
  2. Step 2: Convert to fraction form
    321,025.50/480,658.50 = 480,658.50/x
  3. Step 3: Cross multiply
    321,025.50x = 480,658.50 × 480,658.50
  4. Step 4: Simplify right side
    321,025.50x = 231,032,593,622.25
  5. Step 5: Solve for x
    x = 231,032,593,622.25/321,025.50
  6. Step 6: Final answer
    x = 719,670.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.