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Finding the Third Proportional to 100,178 and 211,534

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Solution

The third proportional to 100,178 and 211,534 is: 446,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178 : 211,534 = 211,534 : x
  2. Step 2: Convert to fraction form
    100,178/211,534 = 211,534/x
  3. Step 3: Cross multiply
    100,178x = 211,534 × 211,534
  4. Step 4: Simplify right side
    100,178x = 44,746,633,156
  5. Step 5: Solve for x
    x = 44,746,633,156/100,178
  6. Step 6: Final answer
    x = 446,671.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.