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Finding the Third Proportional to 74,309 and 160,738

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Solution

The third proportional to 74,309 and 160,738 is: 347,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,309 : 160,738 = 160,738 : x
  2. Step 2: Convert to fraction form
    74,309/160,738 = 160,738/x
  3. Step 3: Cross multiply
    74,309x = 160,738 × 160,738
  4. Step 4: Simplify right side
    74,309x = 25,836,704,644
  5. Step 5: Solve for x
    x = 25,836,704,644/74,309
  6. Step 6: Final answer
    x = 347,692.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.