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Finding the Third Proportional to 20,430 and 27,726

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Solution

The third proportional to 20,430 and 27,726 is: 37,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430 : 27,726 = 27,726 : x
  2. Step 2: Convert to fraction form
    20,430/27,726 = 27,726/x
  3. Step 3: Cross multiply
    20,430x = 27,726 × 27,726
  4. Step 4: Simplify right side
    20,430x = 768,731,076
  5. Step 5: Solve for x
    x = 768,731,076/20,430
  6. Step 6: Final answer
    x = 37,627.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.