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Finding the Third Proportional to 211,829 and 327,140

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Solution

The third proportional to 211,829 and 327,140 is: 505,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,829 : 327,140 = 327,140 : x
  2. Step 2: Convert to fraction form
    211,829/327,140 = 327,140/x
  3. Step 3: Cross multiply
    211,829x = 327,140 × 327,140
  4. Step 4: Simplify right side
    211,829x = 107,020,579,600
  5. Step 5: Solve for x
    x = 107,020,579,600/211,829
  6. Step 6: Final answer
    x = 505,221.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.