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Finding the Third Proportional to 158,940 and 347,406

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Solution

The third proportional to 158,940 and 347,406 is: 759,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,940 : 347,406 = 347,406 : x
  2. Step 2: Convert to fraction form
    158,940/347,406 = 347,406/x
  3. Step 3: Cross multiply
    158,940x = 347,406 × 347,406
  4. Step 4: Simplify right side
    158,940x = 120,690,928,836
  5. Step 5: Solve for x
    x = 120,690,928,836/158,940
  6. Step 6: Final answer
    x = 759,348.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.