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Finding the Third Proportional to 51,120 and 77,600

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Solution

The third proportional to 51,120 and 77,600 is: 117,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,120 : 77,600 = 77,600 : x
  2. Step 2: Convert to fraction form
    51,120/77,600 = 77,600/x
  3. Step 3: Cross multiply
    51,120x = 77,600 × 77,600
  4. Step 4: Simplify right side
    51,120x = 6,021,760,000
  5. Step 5: Solve for x
    x = 6,021,760,000/51,120
  6. Step 6: Final answer
    x = 117,796.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.