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Finding the Third Proportional to 18,313 and 27,820

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Solution

The third proportional to 18,313 and 27,820 is: 42,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,313 : 27,820 = 27,820 : x
  2. Step 2: Convert to fraction form
    18,313/27,820 = 27,820/x
  3. Step 3: Cross multiply
    18,313x = 27,820 × 27,820
  4. Step 4: Simplify right side
    18,313x = 773,952,400
  5. Step 5: Solve for x
    x = 773,952,400/18,313
  6. Step 6: Final answer
    x = 42,262.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.