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Finding the Third Proportional to 210,956 and 317,330

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Solution

The third proportional to 210,956 and 317,330 is: 477,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,956 : 317,330 = 317,330 : x
  2. Step 2: Convert to fraction form
    210,956/317,330 = 317,330/x
  3. Step 3: Cross multiply
    210,956x = 317,330 × 317,330
  4. Step 4: Simplify right side
    210,956x = 100,698,328,900
  5. Step 5: Solve for x
    x = 100,698,328,900/210,956
  6. Step 6: Final answer
    x = 477,342.81

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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.