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Finding the Third Proportional to 212,860.41 and 320,187.94

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Solution

The third proportional to 212,860.41 and 320,187.94 is: 481,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,860.41 : 320,187.94 = 320,187.94 : x
  2. Step 2: Convert to fraction form
    212,860.41/320,187.94 = 320,187.94/x
  3. Step 3: Cross multiply
    212,860.41x = 320,187.94 × 320,187.94
  4. Step 4: Simplify right side
    212,860.41x = 102,520,315,320.50
  5. Step 5: Solve for x
    x = 102,520,315,320.50/212,860.41
  6. Step 6: Final answer
    x = 481,631.68

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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.