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Finding the Third Proportional to 210,228 and 317,529

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Solution

The third proportional to 210,228 and 317,529 is: 479,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,228 : 317,529 = 317,529 : x
  2. Step 2: Convert to fraction form
    210,228/317,529 = 317,529/x
  3. Step 3: Cross multiply
    210,228x = 317,529 × 317,529
  4. Step 4: Simplify right side
    210,228x = 100,824,665,841
  5. Step 5: Solve for x
    x = 100,824,665,841/210,228
  6. Step 6: Final answer
    x = 479,596.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.