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Finding the Third Proportional to 321,187.50 and 422,460

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Solution

The third proportional to 321,187.50 and 422,460 is: 555,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,187.50 : 422,460 = 422,460 : x
  2. Step 2: Convert to fraction form
    321,187.50/422,460 = 422,460/x
  3. Step 3: Cross multiply
    321,187.50x = 422,460 × 422,460
  4. Step 4: Simplify right side
    321,187.50x = 178,472,451,600
  5. Step 5: Solve for x
    x = 178,472,451,600/321,187.50
  6. Step 6: Final answer
    x = 555,664.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.