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Finding the Third Proportional to 51,120 and 78,544

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Solution

The third proportional to 51,120 and 78,544 is: 120,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,120 : 78,544 = 78,544 : x
  2. Step 2: Convert to fraction form
    51,120/78,544 = 78,544/x
  3. Step 3: Cross multiply
    51,120x = 78,544 × 78,544
  4. Step 4: Simplify right side
    51,120x = 6,169,159,936
  5. Step 5: Solve for x
    x = 6,169,159,936/51,120
  6. Step 6: Final answer
    x = 120,679.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.