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Finding the Third Proportional to 51,302 and 77,102

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Solution

The third proportional to 51,302 and 77,102 is: 115,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302 : 77,102 = 77,102 : x
  2. Step 2: Convert to fraction form
    51,302/77,102 = 77,102/x
  3. Step 3: Cross multiply
    51,302x = 77,102 × 77,102
  4. Step 4: Simplify right side
    51,302x = 5,944,718,404
  5. Step 5: Solve for x
    x = 5,944,718,404/51,302
  6. Step 6: Final answer
    x = 115,876.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.