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Finding the Third Proportional to 156,377 and 343,201

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Solution

The third proportional to 156,377 and 343,201 is: 753,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,377 : 343,201 = 343,201 : x
  2. Step 2: Convert to fraction form
    156,377/343,201 = 343,201/x
  3. Step 3: Cross multiply
    156,377x = 343,201 × 343,201
  4. Step 4: Simplify right side
    156,377x = 117,786,926,401
  5. Step 5: Solve for x
    x = 117,786,926,401/156,377
  6. Step 6: Final answer
    x = 753,224.11

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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.