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Finding the Third Proportional to 51,515 and 77,995

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Solution

The third proportional to 51,515 and 77,995 is: 118,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,515 : 77,995 = 77,995 : x
  2. Step 2: Convert to fraction form
    51,515/77,995 = 77,995/x
  3. Step 3: Cross multiply
    51,515x = 77,995 × 77,995
  4. Step 4: Simplify right side
    51,515x = 6,083,220,025
  5. Step 5: Solve for x
    x = 6,083,220,025/51,515
  6. Step 6: Final answer
    x = 118,086.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.