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Finding the Third Proportional to 253,201.50 and 391,933

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Solution

The third proportional to 253,201.50 and 391,933 is: 606,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,201.50 : 391,933 = 391,933 : x
  2. Step 2: Convert to fraction form
    253,201.50/391,933 = 391,933/x
  3. Step 3: Cross multiply
    253,201.50x = 391,933 × 391,933
  4. Step 4: Simplify right side
    253,201.50x = 153,611,476,489
  5. Step 5: Solve for x
    x = 153,611,476,489/253,201.50
  6. Step 6: Final answer
    x = 606,676.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.