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Finding the Third Proportional to 20,780 and 31,088

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Solution

The third proportional to 20,780 and 31,088 is: 46,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780 : 31,088 = 31,088 : x
  2. Step 2: Convert to fraction form
    20,780/31,088 = 31,088/x
  3. Step 3: Cross multiply
    20,780x = 31,088 × 31,088
  4. Step 4: Simplify right side
    20,780x = 966,463,744
  5. Step 5: Solve for x
    x = 966,463,744/20,780
  6. Step 6: Final answer
    x = 46,509.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.