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Finding the Third Proportional to 156,469 and 212,549

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Solution

The third proportional to 156,469 and 212,549 is: 288,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,469 : 212,549 = 212,549 : x
  2. Step 2: Convert to fraction form
    156,469/212,549 = 212,549/x
  3. Step 3: Cross multiply
    156,469x = 212,549 × 212,549
  4. Step 4: Simplify right side
    156,469x = 45,177,077,401
  5. Step 5: Solve for x
    x = 45,177,077,401/156,469
  6. Step 6: Final answer
    x = 288,728.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.