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Finding the Third Proportional to 210,845 and 318,900

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Solution

The third proportional to 210,845 and 318,900 is: 482,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,845 : 318,900 = 318,900 : x
  2. Step 2: Convert to fraction form
    210,845/318,900 = 318,900/x
  3. Step 3: Cross multiply
    210,845x = 318,900 × 318,900
  4. Step 4: Simplify right side
    210,845x = 101,697,210,000
  5. Step 5: Solve for x
    x = 101,697,210,000/210,845
  6. Step 6: Final answer
    x = 482,331.62

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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.