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Finding the Third Proportional to 217,720.50 and 320,175

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Solution

The third proportional to 217,720.50 and 320,175 is: 470,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,720.50 : 320,175 = 320,175 : x
  2. Step 2: Convert to fraction form
    217,720.50/320,175 = 320,175/x
  3. Step 3: Cross multiply
    217,720.50x = 320,175 × 320,175
  4. Step 4: Simplify right side
    217,720.50x = 102,512,030,625
  5. Step 5: Solve for x
    x = 102,512,030,625/217,720.50
  6. Step 6: Final answer
    x = 470,842.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.