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Finding the Third Proportional to 204,106.50 and 321,813

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Solution

The third proportional to 204,106.50 and 321,813 is: 507,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,106.50 : 321,813 = 321,813 : x
  2. Step 2: Convert to fraction form
    204,106.50/321,813 = 321,813/x
  3. Step 3: Cross multiply
    204,106.50x = 321,813 × 321,813
  4. Step 4: Simplify right side
    204,106.50x = 103,563,606,969
  5. Step 5: Solve for x
    x = 103,563,606,969/204,106.50
  6. Step 6: Final answer
    x = 507,399.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.