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Finding the Third Proportional to 26,780 and 38,940

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Solution

The third proportional to 26,780 and 38,940 is: 56,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,780 : 38,940 = 38,940 : x
  2. Step 2: Convert to fraction form
    26,780/38,940 = 38,940/x
  3. Step 3: Cross multiply
    26,780x = 38,940 × 38,940
  4. Step 4: Simplify right side
    26,780x = 1,516,323,600
  5. Step 5: Solve for x
    x = 1,516,323,600/26,780
  6. Step 6: Final answer
    x = 56,621.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.