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Finding the Third Proportional to 159,280 and 342,173

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Solution

The third proportional to 159,280 and 342,173 is: 735,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,280 : 342,173 = 342,173 : x
  2. Step 2: Convert to fraction form
    159,280/342,173 = 342,173/x
  3. Step 3: Cross multiply
    159,280x = 342,173 × 342,173
  4. Step 4: Simplify right side
    159,280x = 117,082,361,929
  5. Step 5: Solve for x
    x = 117,082,361,929/159,280
  6. Step 6: Final answer
    x = 735,072.59

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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.