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Finding the Third Proportional to 272,180 and 355,780

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Solution

The third proportional to 272,180 and 355,780 is: 465,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,180 : 355,780 = 355,780 : x
  2. Step 2: Convert to fraction form
    272,180/355,780 = 355,780/x
  3. Step 3: Cross multiply
    272,180x = 355,780 × 355,780
  4. Step 4: Simplify right side
    272,180x = 126,579,408,400
  5. Step 5: Solve for x
    x = 126,579,408,400/272,180
  6. Step 6: Final answer
    x = 465,057.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.