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Finding the Third Proportional to 204,070 and 321,756

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Solution

The third proportional to 204,070 and 321,756 is: 507,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,070 : 321,756 = 321,756 : x
  2. Step 2: Convert to fraction form
    204,070/321,756 = 321,756/x
  3. Step 3: Cross multiply
    204,070x = 321,756 × 321,756
  4. Step 4: Simplify right side
    204,070x = 103,526,923,536
  5. Step 5: Solve for x
    x = 103,526,923,536/204,070
  6. Step 6: Final answer
    x = 507,310.84

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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.