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Finding the Third Proportional to 203,953.50 and 309,892.50

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Solution

The third proportional to 203,953.50 and 309,892.50 is: 470,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,953.50 : 309,892.50 = 309,892.50 : x
  2. Step 2: Convert to fraction form
    203,953.50/309,892.50 = 309,892.50/x
  3. Step 3: Cross multiply
    203,953.50x = 309,892.50 × 309,892.50
  4. Step 4: Simplify right side
    203,953.50x = 96,033,361,556.25
  5. Step 5: Solve for x
    x = 96,033,361,556.25/203,953.50
  6. Step 6: Final answer
    x = 470,859.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.