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Finding the Third Proportional to 56,907 and 81,976

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Solution

The third proportional to 56,907 and 81,976 is: 118,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,907 : 81,976 = 81,976 : x
  2. Step 2: Convert to fraction form
    56,907/81,976 = 81,976/x
  3. Step 3: Cross multiply
    56,907x = 81,976 × 81,976
  4. Step 4: Simplify right side
    56,907x = 6,720,064,576
  5. Step 5: Solve for x
    x = 6,720,064,576/56,907
  6. Step 6: Final answer
    x = 118,088.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.