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Finding the Third Proportional to 18,537 and 40,781

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Solution

The third proportional to 18,537 and 40,781 is: 89,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537 : 40,781 = 40,781 : x
  2. Step 2: Convert to fraction form
    18,537/40,781 = 40,781/x
  3. Step 3: Cross multiply
    18,537x = 40,781 × 40,781
  4. Step 4: Simplify right side
    18,537x = 1,663,089,961
  5. Step 5: Solve for x
    x = 1,663,089,961/18,537
  6. Step 6: Final answer
    x = 89,717.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.