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Finding the Third Proportional to 36,405 and 51,570

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Solution

The third proportional to 36,405 and 51,570 is: 73,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,405 : 51,570 = 51,570 : x
  2. Step 2: Convert to fraction form
    36,405/51,570 = 51,570/x
  3. Step 3: Cross multiply
    36,405x = 51,570 × 51,570
  4. Step 4: Simplify right side
    36,405x = 2,659,464,900
  5. Step 5: Solve for x
    x = 2,659,464,900/36,405
  6. Step 6: Final answer
    x = 73,052.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.