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Finding the Third Proportional to 159,238 and 343,340

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Solution

The third proportional to 159,238 and 343,340 is: 740,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,238 : 343,340 = 343,340 : x
  2. Step 2: Convert to fraction form
    159,238/343,340 = 343,340/x
  3. Step 3: Cross multiply
    159,238x = 343,340 × 343,340
  4. Step 4: Simplify right side
    159,238x = 117,882,355,600
  5. Step 5: Solve for x
    x = 117,882,355,600/159,238
  6. Step 6: Final answer
    x = 740,290.36

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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.