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Finding the Third Proportional to 165,800 and 357,520

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Solution

The third proportional to 165,800 and 357,520 is: 770,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,800 : 357,520 = 357,520 : x
  2. Step 2: Convert to fraction form
    165,800/357,520 = 357,520/x
  3. Step 3: Cross multiply
    165,800x = 357,520 × 357,520
  4. Step 4: Simplify right side
    165,800x = 127,820,550,400
  5. Step 5: Solve for x
    x = 127,820,550,400/165,800
  6. Step 6: Final answer
    x = 770,932.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.