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Finding the Third Proportional to 159,180 and 343,155

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Solution

The third proportional to 159,180 and 343,155 is: 739,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,180 : 343,155 = 343,155 : x
  2. Step 2: Convert to fraction form
    159,180/343,155 = 343,155/x
  3. Step 3: Cross multiply
    159,180x = 343,155 × 343,155
  4. Step 4: Simplify right side
    159,180x = 117,755,354,025
  5. Step 5: Solve for x
    x = 117,755,354,025/159,180
  6. Step 6: Final answer
    x = 739,762.24

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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.