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Finding the Third Proportional to 202,942.50 and 321,336

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Solution

The third proportional to 202,942.50 and 321,336 is: 508,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,942.50 : 321,336 = 321,336 : x
  2. Step 2: Convert to fraction form
    202,942.50/321,336 = 321,336/x
  3. Step 3: Cross multiply
    202,942.50x = 321,336 × 321,336
  4. Step 4: Simplify right side
    202,942.50x = 103,256,824,896
  5. Step 5: Solve for x
    x = 103,256,824,896/202,942.50
  6. Step 6: Final answer
    x = 508,798.43

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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.