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Finding the Third Proportional to 211,318 and 316,974

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Solution

The third proportional to 211,318 and 316,974 is: 475,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,318 : 316,974 = 316,974 : x
  2. Step 2: Convert to fraction form
    211,318/316,974 = 316,974/x
  3. Step 3: Cross multiply
    211,318x = 316,974 × 316,974
  4. Step 4: Simplify right side
    211,318x = 100,472,516,676
  5. Step 5: Solve for x
    x = 100,472,516,676/211,318
  6. Step 6: Final answer
    x = 475,456.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.