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Finding the Third Proportional to 156,678 and 341,421

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Solution

The third proportional to 156,678 and 341,421 is: 743,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,678 : 341,421 = 341,421 : x
  2. Step 2: Convert to fraction form
    156,678/341,421 = 341,421/x
  3. Step 3: Cross multiply
    156,678x = 341,421 × 341,421
  4. Step 4: Simplify right side
    156,678x = 116,568,299,241
  5. Step 5: Solve for x
    x = 116,568,299,241/156,678
  6. Step 6: Final answer
    x = 743,999.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.