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Finding the Third Proportional to 212,871.09 and 320,200.88

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Solution

The third proportional to 212,871.09 and 320,200.88 is: 481,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,871.09 : 320,200.88 = 320,200.88 : x
  2. Step 2: Convert to fraction form
    212,871.09/320,200.88 = 320,200.88/x
  3. Step 3: Cross multiply
    212,871.09x = 320,200.88 × 320,200.88
  4. Step 4: Simplify right side
    212,871.09x = 102,528,600,350.77
  5. Step 5: Solve for x
    x = 102,528,600,350.77/212,871.09
  6. Step 6: Final answer
    x = 481,646.42

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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.