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Finding the Third Proportional to 73,843 and 114,560

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Solution

The third proportional to 73,843 and 114,560 is: 177,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,843 : 114,560 = 114,560 : x
  2. Step 2: Convert to fraction form
    73,843/114,560 = 114,560/x
  3. Step 3: Cross multiply
    73,843x = 114,560 × 114,560
  4. Step 4: Simplify right side
    73,843x = 13,123,993,600
  5. Step 5: Solve for x
    x = 13,123,993,600/73,843
  6. Step 6: Final answer
    x = 177,728.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.