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Finding the Third Proportional to 126,780 and 265,770

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Solution

The third proportional to 126,780 and 265,770 is: 557,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,780 : 265,770 = 265,770 : x
  2. Step 2: Convert to fraction form
    126,780/265,770 = 265,770/x
  3. Step 3: Cross multiply
    126,780x = 265,770 × 265,770
  4. Step 4: Simplify right side
    126,780x = 70,633,692,900
  5. Step 5: Solve for x
    x = 70,633,692,900/126,780
  6. Step 6: Final answer
    x = 557,135.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.