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Finding the Third Proportional to 115,242 and 177,780

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Solution

The third proportional to 115,242 and 177,780 is: 274,255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,242 : 177,780 = 177,780 : x
  2. Step 2: Convert to fraction form
    115,242/177,780 = 177,780/x
  3. Step 3: Cross multiply
    115,242x = 177,780 × 177,780
  4. Step 4: Simplify right side
    115,242x = 31,605,728,400
  5. Step 5: Solve for x
    x = 31,605,728,400/115,242
  6. Step 6: Final answer
    x = 274,255.29

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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.