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Finding the Third Proportional to 159,745 and 340,850

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Solution

The third proportional to 159,745 and 340,850 is: 727,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,745 : 340,850 = 340,850 : x
  2. Step 2: Convert to fraction form
    159,745/340,850 = 340,850/x
  3. Step 3: Cross multiply
    159,745x = 340,850 × 340,850
  4. Step 4: Simplify right side
    159,745x = 116,178,722,500
  5. Step 5: Solve for x
    x = 116,178,722,500/159,745
  6. Step 6: Final answer
    x = 727,276.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.