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Finding the Third Proportional to 51,628 and 77,874

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Solution

The third proportional to 51,628 and 77,874 is: 117,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,628 : 77,874 = 77,874 : x
  2. Step 2: Convert to fraction form
    51,628/77,874 = 77,874/x
  3. Step 3: Cross multiply
    51,628x = 77,874 × 77,874
  4. Step 4: Simplify right side
    51,628x = 6,064,359,876
  5. Step 5: Solve for x
    x = 6,064,359,876/51,628
  6. Step 6: Final answer
    x = 117,462.61

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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.