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Finding the Third Proportional to 210,460 and 315,930

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Solution

The third proportional to 210,460 and 315,930 is: 474,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,460 : 315,930 = 315,930 : x
  2. Step 2: Convert to fraction form
    210,460/315,930 = 315,930/x
  3. Step 3: Cross multiply
    210,460x = 315,930 × 315,930
  4. Step 4: Simplify right side
    210,460x = 99,811,764,900
  5. Step 5: Solve for x
    x = 99,811,764,900/210,460
  6. Step 6: Final answer
    x = 474,255.27

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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.