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Finding the Third Proportional to 39,765 and 56,190

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Solution

The third proportional to 39,765 and 56,190 is: 79,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,765 : 56,190 = 56,190 : x
  2. Step 2: Convert to fraction form
    39,765/56,190 = 56,190/x
  3. Step 3: Cross multiply
    39,765x = 56,190 × 56,190
  4. Step 4: Simplify right side
    39,765x = 3,157,316,100
  5. Step 5: Solve for x
    x = 3,157,316,100/39,765
  6. Step 6: Final answer
    x = 79,399.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.