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Finding the Third Proportional to 51,977 and 78,339

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Solution

The third proportional to 51,977 and 78,339 is: 118,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977 : 78,339 = 78,339 : x
  2. Step 2: Convert to fraction form
    51,977/78,339 = 78,339/x
  3. Step 3: Cross multiply
    51,977x = 78,339 × 78,339
  4. Step 4: Simplify right side
    51,977x = 6,136,998,921
  5. Step 5: Solve for x
    x = 6,136,998,921/51,977
  6. Step 6: Final answer
    x = 118,071.43

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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.