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Finding the Third Proportional to 159,378 and 343,346

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Solution

The third proportional to 159,378 and 343,346 is: 739,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,378 : 343,346 = 343,346 : x
  2. Step 2: Convert to fraction form
    159,378/343,346 = 343,346/x
  3. Step 3: Cross multiply
    159,378x = 343,346 × 343,346
  4. Step 4: Simplify right side
    159,378x = 117,886,475,716
  5. Step 5: Solve for x
    x = 117,886,475,716/159,378
  6. Step 6: Final answer
    x = 739,665.92

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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.