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Finding the Third Proportional to 78,098 and 165,508

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Solution

The third proportional to 78,098 and 165,508 is: 350,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098 : 165,508 = 165,508 : x
  2. Step 2: Convert to fraction form
    78,098/165,508 = 165,508/x
  3. Step 3: Cross multiply
    78,098x = 165,508 × 165,508
  4. Step 4: Simplify right side
    78,098x = 27,392,898,064
  5. Step 5: Solve for x
    x = 27,392,898,064/78,098
  6. Step 6: Final answer
    x = 350,750.31

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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.