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Finding the Third Proportional to 210,952 and 317,324

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Solution

The third proportional to 210,952 and 317,324 is: 477,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,952 : 317,324 = 317,324 : x
  2. Step 2: Convert to fraction form
    210,952/317,324 = 317,324/x
  3. Step 3: Cross multiply
    210,952x = 317,324 × 317,324
  4. Step 4: Simplify right side
    210,952x = 100,694,520,976
  5. Step 5: Solve for x
    x = 100,694,520,976/210,952
  6. Step 6: Final answer
    x = 477,333.81

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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.