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Finding the Third Proportional to 61,676.44 and 128,200.85

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Solution

The third proportional to 61,676.44 and 128,200.85 is: 266,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,676.44 : 128,200.85 = 128,200.85 : x
  2. Step 2: Convert to fraction form
    61,676.44/128,200.85 = 128,200.85/x
  3. Step 3: Cross multiply
    61,676.44x = 128,200.85 × 128,200.85
  4. Step 4: Simplify right side
    61,676.44x = 16,435,458,341.35
  5. Step 5: Solve for x
    x = 16,435,458,341.35/61,676.44
  6. Step 6: Final answer
    x = 266,478.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.