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Finding the Third Proportional to 78,965.25 and 172,692.38

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Solution

The third proportional to 78,965.25 and 172,692.38 is: 377,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,965.25 : 172,692.38 = 172,692.38 : x
  2. Step 2: Convert to fraction form
    78,965.25/172,692.38 = 172,692.38/x
  3. Step 3: Cross multiply
    78,965.25x = 172,692.38 × 172,692.38
  4. Step 4: Simplify right side
    78,965.25x = 29,822,656,383.14
  5. Step 5: Solve for x
    x = 29,822,656,383.14/78,965.25
  6. Step 6: Final answer
    x = 377,668.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.