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Finding the Third Proportional to 255,208.85 and 391,734.98

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Solution

The third proportional to 255,208.85 and 391,734.98 is: 601,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,208.85 : 391,734.98 = 391,734.98 : x
  2. Step 2: Convert to fraction form
    255,208.85/391,734.98 = 391,734.98/x
  3. Step 3: Cross multiply
    255,208.85x = 391,734.98 × 391,734.98
  4. Step 4: Simplify right side
    255,208.85x = 153,456,297,983.28
  5. Step 5: Solve for x
    x = 153,456,297,983.28/255,208.85
  6. Step 6: Final answer
    x = 601,296.93

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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.