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Finding the Third Proportional to 78,051 and 165,825

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Solution

The third proportional to 78,051 and 165,825 is: 352,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,051 : 165,825 = 165,825 : x
  2. Step 2: Convert to fraction form
    78,051/165,825 = 165,825/x
  3. Step 3: Cross multiply
    78,051x = 165,825 × 165,825
  4. Step 4: Simplify right side
    78,051x = 27,497,930,625
  5. Step 5: Solve for x
    x = 27,497,930,625/78,051
  6. Step 6: Final answer
    x = 352,307.22

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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.