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Finding the Third Proportional to 76,980 and 165,423

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Solution

The third proportional to 76,980 and 165,423 is: 355,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980 : 165,423 = 165,423 : x
  2. Step 2: Convert to fraction form
    76,980/165,423 = 165,423/x
  3. Step 3: Cross multiply
    76,980x = 165,423 × 165,423
  4. Step 4: Simplify right side
    76,980x = 27,364,768,929
  5. Step 5: Solve for x
    x = 27,364,768,929/76,980
  6. Step 6: Final answer
    x = 355,478.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.