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Finding the Third Proportional to 45,103.50 and 80,365.50

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Solution

The third proportional to 45,103.50 and 80,365.50 is: 143,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,103.50 : 80,365.50 = 80,365.50 : x
  2. Step 2: Convert to fraction form
    45,103.50/80,365.50 = 80,365.50/x
  3. Step 3: Cross multiply
    45,103.50x = 80,365.50 × 80,365.50
  4. Step 4: Simplify right side
    45,103.50x = 6,458,613,590.25
  5. Step 5: Solve for x
    x = 6,458,613,590.25/45,103.50
  6. Step 6: Final answer
    x = 143,195.40

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.