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Finding the Third Proportional to 78,326 and 165,582

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Solution

The third proportional to 78,326 and 165,582 is: 350,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,326 : 165,582 = 165,582 : x
  2. Step 2: Convert to fraction form
    78,326/165,582 = 165,582/x
  3. Step 3: Cross multiply
    78,326x = 165,582 × 165,582
  4. Step 4: Simplify right side
    78,326x = 27,417,398,724
  5. Step 5: Solve for x
    x = 27,417,398,724/78,326
  6. Step 6: Final answer
    x = 350,042.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.