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Finding the Third Proportional to 40,907 and 87,645

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Solution

The third proportional to 40,907 and 87,645 is: 187,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907 : 87,645 = 87,645 : x
  2. Step 2: Convert to fraction form
    40,907/87,645 = 87,645/x
  3. Step 3: Cross multiply
    40,907x = 87,645 × 87,645
  4. Step 4: Simplify right side
    40,907x = 7,681,646,025
  5. Step 5: Solve for x
    x = 7,681,646,025/40,907
  6. Step 6: Final answer
    x = 187,783.17

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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.