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Finding the Third Proportional to 255,217.50 and 391,749.75

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Solution

The third proportional to 255,217.50 and 391,749.75 is: 601,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,217.50 : 391,749.75 = 391,749.75 : x
  2. Step 2: Convert to fraction form
    255,217.50/391,749.75 = 391,749.75/x
  3. Step 3: Cross multiply
    255,217.50x = 391,749.75 × 391,749.75
  4. Step 4: Simplify right side
    255,217.50x = 153,467,866,625.06
  5. Step 5: Solve for x
    x = 153,467,866,625.06/255,217.50
  6. Step 6: Final answer
    x = 601,321.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.