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Finding the Third Proportional to 114,762 and 178,137

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Solution

The third proportional to 114,762 and 178,137 is: 276,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,762 : 178,137 = 178,137 : x
  2. Step 2: Convert to fraction form
    114,762/178,137 = 178,137/x
  3. Step 3: Cross multiply
    114,762x = 178,137 × 178,137
  4. Step 4: Simplify right side
    114,762x = 31,732,790,769
  5. Step 5: Solve for x
    x = 31,732,790,769/114,762
  6. Step 6: Final answer
    x = 276,509.57

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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.