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Finding the Third Proportional to 40,338.50 and 56,421.75

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Solution

The third proportional to 40,338.50 and 56,421.75 is: 78,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,338.50 : 56,421.75 = 56,421.75 : x
  2. Step 2: Convert to fraction form
    40,338.50/56,421.75 = 56,421.75/x
  3. Step 3: Cross multiply
    40,338.50x = 56,421.75 × 56,421.75
  4. Step 4: Simplify right side
    40,338.50x = 3,183,413,873.06
  5. Step 5: Solve for x
    x = 3,183,413,873.06/40,338.50
  6. Step 6: Final answer
    x = 78,917.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.