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Finding the Third Proportional to 451,993.50 and 663,228

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Solution

The third proportional to 451,993.50 and 663,228 is: 973,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,993.50 : 663,228 = 663,228 : x
  2. Step 2: Convert to fraction form
    451,993.50/663,228 = 663,228/x
  3. Step 3: Cross multiply
    451,993.50x = 663,228 × 663,228
  4. Step 4: Simplify right side
    451,993.50x = 439,871,379,984
  5. Step 5: Solve for x
    x = 439,871,379,984/451,993.50
  6. Step 6: Final answer
    x = 973,180.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.