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Finding the Third Proportional to 138,176 and 211,273

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Solution

The third proportional to 138,176 and 211,273 is: 323,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,176 : 211,273 = 211,273 : x
  2. Step 2: Convert to fraction form
    138,176/211,273 = 211,273/x
  3. Step 3: Cross multiply
    138,176x = 211,273 × 211,273
  4. Step 4: Simplify right side
    138,176x = 44,636,280,529
  5. Step 5: Solve for x
    x = 44,636,280,529/138,176
  6. Step 6: Final answer
    x = 323,039.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.