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Finding the Third Proportional to 18,723 and 27,585

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Solution

The third proportional to 18,723 and 27,585 is: 40,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,723 : 27,585 = 27,585 : x
  2. Step 2: Convert to fraction form
    18,723/27,585 = 27,585/x
  3. Step 3: Cross multiply
    18,723x = 27,585 × 27,585
  4. Step 4: Simplify right side
    18,723x = 760,932,225
  5. Step 5: Solve for x
    x = 760,932,225/18,723
  6. Step 6: Final answer
    x = 40,641.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.