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Finding the Third Proportional to 32,109 and 42,604.50

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Solution

The third proportional to 32,109 and 42,604.50 is: 56,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109 : 42,604.50 = 42,604.50 : x
  2. Step 2: Convert to fraction form
    32,109/42,604.50 = 42,604.50/x
  3. Step 3: Cross multiply
    32,109x = 42,604.50 × 42,604.50
  4. Step 4: Simplify right side
    32,109x = 1,815,143,420.25
  5. Step 5: Solve for x
    x = 1,815,143,420.25/32,109
  6. Step 6: Final answer
    x = 56,530.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.