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Finding the Third Proportional to 77,190 and 165,933

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Solution

The third proportional to 77,190 and 165,933 is: 356,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,190 : 165,933 = 165,933 : x
  2. Step 2: Convert to fraction form
    77,190/165,933 = 165,933/x
  3. Step 3: Cross multiply
    77,190x = 165,933 × 165,933
  4. Step 4: Simplify right side
    77,190x = 27,533,760,489
  5. Step 5: Solve for x
    x = 27,533,760,489/77,190
  6. Step 6: Final answer
    x = 356,701.13

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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.