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Finding the Third Proportional to 205,169 and 320,713.50

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Solution

The third proportional to 205,169 and 320,713.50 is: 501,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,169 : 320,713.50 = 320,713.50 : x
  2. Step 2: Convert to fraction form
    205,169/320,713.50 = 320,713.50/x
  3. Step 3: Cross multiply
    205,169x = 320,713.50 × 320,713.50
  4. Step 4: Simplify right side
    205,169x = 102,857,149,082.25
  5. Step 5: Solve for x
    x = 102,857,149,082.25/205,169
  6. Step 6: Final answer
    x = 501,328.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.