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Finding the Third Proportional to 18,781 and 40,570

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Solution

The third proportional to 18,781 and 40,570 is: 87,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,781 : 40,570 = 40,570 : x
  2. Step 2: Convert to fraction form
    18,781/40,570 = 40,570/x
  3. Step 3: Cross multiply
    18,781x = 40,570 × 40,570
  4. Step 4: Simplify right side
    18,781x = 1,645,924,900
  5. Step 5: Solve for x
    x = 1,645,924,900/18,781
  6. Step 6: Final answer
    x = 87,637.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.