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Finding the Third Proportional to 75,420 and 165,780

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Solution

The third proportional to 75,420 and 165,780 is: 364,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,420 : 165,780 = 165,780 : x
  2. Step 2: Convert to fraction form
    75,420/165,780 = 165,780/x
  3. Step 3: Cross multiply
    75,420x = 165,780 × 165,780
  4. Step 4: Simplify right side
    75,420x = 27,483,008,400
  5. Step 5: Solve for x
    x = 27,483,008,400/75,420
  6. Step 6: Final answer
    x = 364,399.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.