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Finding the Third Proportional to 159,120 and 343,143

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Solution

The third proportional to 159,120 and 343,143 is: 739,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,120 : 343,143 = 343,143 : x
  2. Step 2: Convert to fraction form
    159,120/343,143 = 343,143/x
  3. Step 3: Cross multiply
    159,120x = 343,143 × 343,143
  4. Step 4: Simplify right side
    159,120x = 117,747,118,449
  5. Step 5: Solve for x
    x = 117,747,118,449/159,120
  6. Step 6: Final answer
    x = 739,989.43

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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.