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Finding the Third Proportional to 40,905 and 87,638

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Solution

The third proportional to 40,905 and 87,638 is: 187,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,905 : 87,638 = 87,638 : x
  2. Step 2: Convert to fraction form
    40,905/87,638 = 87,638/x
  3. Step 3: Cross multiply
    40,905x = 87,638 × 87,638
  4. Step 4: Simplify right side
    40,905x = 7,680,419,044
  5. Step 5: Solve for x
    x = 7,680,419,044/40,905
  6. Step 6: Final answer
    x = 187,762.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.