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Finding the Third Proportional to 51,439 and 77,280

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Solution

The third proportional to 51,439 and 77,280 is: 116,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,439 : 77,280 = 77,280 : x
  2. Step 2: Convert to fraction form
    51,439/77,280 = 77,280/x
  3. Step 3: Cross multiply
    51,439x = 77,280 × 77,280
  4. Step 4: Simplify right side
    51,439x = 5,972,198,400
  5. Step 5: Solve for x
    x = 5,972,198,400/51,439
  6. Step 6: Final answer
    x = 116,102.54

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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.