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Finding the Third Proportional to 51,072 and 77,689

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Solution

The third proportional to 51,072 and 77,689 is: 118,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072 : 77,689 = 77,689 : x
  2. Step 2: Convert to fraction form
    51,072/77,689 = 77,689/x
  3. Step 3: Cross multiply
    51,072x = 77,689 × 77,689
  4. Step 4: Simplify right side
    51,072x = 6,035,580,721
  5. Step 5: Solve for x
    x = 6,035,580,721/51,072
  6. Step 6: Final answer
    x = 118,177.88

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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.