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Finding the Third Proportional to 165,780 and 354,828

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Solution

The third proportional to 165,780 and 354,828 is: 759,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,780 : 354,828 = 354,828 : x
  2. Step 2: Convert to fraction form
    165,780/354,828 = 354,828/x
  3. Step 3: Cross multiply
    165,780x = 354,828 × 354,828
  4. Step 4: Simplify right side
    165,780x = 125,902,909,584
  5. Step 5: Solve for x
    x = 125,902,909,584/165,780
  6. Step 6: Final answer
    x = 759,457.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.