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Finding the Third Proportional to 178,578 and 269,692.50

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Solution

The third proportional to 178,578 and 269,692.50 is: 407,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,578 : 269,692.50 = 269,692.50 : x
  2. Step 2: Convert to fraction form
    178,578/269,692.50 = 269,692.50/x
  3. Step 3: Cross multiply
    178,578x = 269,692.50 × 269,692.50
  4. Step 4: Simplify right side
    178,578x = 72,734,044,556.25
  5. Step 5: Solve for x
    x = 72,734,044,556.25/178,578
  6. Step 6: Final answer
    x = 407,295.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.