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Finding the Third Proportional to 77,940 and 165,154

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Solution

The third proportional to 77,940 and 165,154 is: 349,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,940 : 165,154 = 165,154 : x
  2. Step 2: Convert to fraction form
    77,940/165,154 = 165,154/x
  3. Step 3: Cross multiply
    77,940x = 165,154 × 165,154
  4. Step 4: Simplify right side
    77,940x = 27,275,843,716
  5. Step 5: Solve for x
    x = 27,275,843,716/77,940
  6. Step 6: Final answer
    x = 349,959.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.