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Finding the Third Proportional to 76,509 and 165,723

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Solution

The third proportional to 76,509 and 165,723 is: 358,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509 : 165,723 = 165,723 : x
  2. Step 2: Convert to fraction form
    76,509/165,723 = 165,723/x
  3. Step 3: Cross multiply
    76,509x = 165,723 × 165,723
  4. Step 4: Simplify right side
    76,509x = 27,464,112,729
  5. Step 5: Solve for x
    x = 27,464,112,729/76,509
  6. Step 6: Final answer
    x = 358,965.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.