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Finding the Third Proportional to 321,115.50 and 493,771.50

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Solution

The third proportional to 321,115.50 and 493,771.50 is: 759,260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,115.50 : 493,771.50 = 493,771.50 : x
  2. Step 2: Convert to fraction form
    321,115.50/493,771.50 = 493,771.50/x
  3. Step 3: Cross multiply
    321,115.50x = 493,771.50 × 493,771.50
  4. Step 4: Simplify right side
    321,115.50x = 243,810,294,212.25
  5. Step 5: Solve for x
    x = 243,810,294,212.25/321,115.50
  6. Step 6: Final answer
    x = 759,260.43

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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.