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Finding the Third Proportional to 74,705 and 160,738

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Solution

The third proportional to 74,705 and 160,738 is: 345,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,705 : 160,738 = 160,738 : x
  2. Step 2: Convert to fraction form
    74,705/160,738 = 160,738/x
  3. Step 3: Cross multiply
    74,705x = 160,738 × 160,738
  4. Step 4: Simplify right side
    74,705x = 25,836,704,644
  5. Step 5: Solve for x
    x = 25,836,704,644/74,705
  6. Step 6: Final answer
    x = 345,849.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.