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Finding the Third Proportional to 115,172 and 177,678

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Solution

The third proportional to 115,172 and 177,678 is: 274,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,172 : 177,678 = 177,678 : x
  2. Step 2: Convert to fraction form
    115,172/177,678 = 177,678/x
  3. Step 3: Cross multiply
    115,172x = 177,678 × 177,678
  4. Step 4: Simplify right side
    115,172x = 31,569,471,684
  5. Step 5: Solve for x
    x = 31,569,471,684/115,172
  6. Step 6: Final answer
    x = 274,107.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.