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Finding the Third Proportional to 3,225.33 and 4,984.76

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Solution

The third proportional to 3,225.33 and 4,984.76 is: 7,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.33 : 4,984.76 = 4,984.76 : x
  2. Step 2: Convert to fraction form
    3,225.33/4,984.76 = 4,984.76/x
  3. Step 3: Cross multiply
    3,225.33x = 4,984.76 × 4,984.76
  4. Step 4: Simplify right side
    3,225.33x = 24,847,861.56
  5. Step 5: Solve for x
    x = 24,847,861.56/3,225.33
  6. Step 6: Final answer
    x = 7,703.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.