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Finding the Third Proportional to 156,421 and 343,945

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Solution

The third proportional to 156,421 and 343,945 is: 756,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,421 : 343,945 = 343,945 : x
  2. Step 2: Convert to fraction form
    156,421/343,945 = 343,945/x
  3. Step 3: Cross multiply
    156,421x = 343,945 × 343,945
  4. Step 4: Simplify right side
    156,421x = 118,298,163,025
  5. Step 5: Solve for x
    x = 118,298,163,025/156,421
  6. Step 6: Final answer
    x = 756,280.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.