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Finding the Third Proportional to 26,420 and 37,980

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Solution

The third proportional to 26,420 and 37,980 is: 54,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,420 : 37,980 = 37,980 : x
  2. Step 2: Convert to fraction form
    26,420/37,980 = 37,980/x
  3. Step 3: Cross multiply
    26,420x = 37,980 × 37,980
  4. Step 4: Simplify right side
    26,420x = 1,442,480,400
  5. Step 5: Solve for x
    x = 1,442,480,400/26,420
  6. Step 6: Final answer
    x = 54,598.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.