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Finding the Third Proportional to 51,513 and 77,992

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Solution

The third proportional to 51,513 and 77,992 is: 118,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,513 : 77,992 = 77,992 : x
  2. Step 2: Convert to fraction form
    51,513/77,992 = 77,992/x
  3. Step 3: Cross multiply
    51,513x = 77,992 × 77,992
  4. Step 4: Simplify right side
    51,513x = 6,082,752,064
  5. Step 5: Solve for x
    x = 6,082,752,064/51,513
  6. Step 6: Final answer
    x = 118,081.88

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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.