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Finding the Third Proportional to 160,742 and 345,678

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Solution

The third proportional to 160,742 and 345,678 is: 743,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,742 : 345,678 = 345,678 : x
  2. Step 2: Convert to fraction form
    160,742/345,678 = 345,678/x
  3. Step 3: Cross multiply
    160,742x = 345,678 × 345,678
  4. Step 4: Simplify right side
    160,742x = 119,493,279,684
  5. Step 5: Solve for x
    x = 119,493,279,684/160,742
  6. Step 6: Final answer
    x = 743,385.55

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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.