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Finding the Third Proportional to 45,282 and 60,390

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Solution

The third proportional to 45,282 and 60,390 is: 80,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,282 : 60,390 = 60,390 : x
  2. Step 2: Convert to fraction form
    45,282/60,390 = 60,390/x
  3. Step 3: Cross multiply
    45,282x = 60,390 × 60,390
  4. Step 4: Simplify right side
    45,282x = 3,646,952,100
  5. Step 5: Solve for x
    x = 3,646,952,100/45,282
  6. Step 6: Final answer
    x = 80,538.67

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Why These Related Problems?

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