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Finding the Third Proportional to 43,728 and 90,570

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Solution

The third proportional to 43,728 and 90,570 is: 187,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,728 : 90,570 = 90,570 : x
  2. Step 2: Convert to fraction form
    43,728/90,570 = 90,570/x
  3. Step 3: Cross multiply
    43,728x = 90,570 × 90,570
  4. Step 4: Simplify right side
    43,728x = 8,202,924,900
  5. Step 5: Solve for x
    x = 8,202,924,900/43,728
  6. Step 6: Final answer
    x = 187,589.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.