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Finding the Third Proportional to 210,006 and 318,894

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Solution

The third proportional to 210,006 and 318,894 is: 484,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,006 : 318,894 = 318,894 : x
  2. Step 2: Convert to fraction form
    210,006/318,894 = 318,894/x
  3. Step 3: Cross multiply
    210,006x = 318,894 × 318,894
  4. Step 4: Simplify right side
    210,006x = 101,693,383,236
  5. Step 5: Solve for x
    x = 101,693,383,236/210,006
  6. Step 6: Final answer
    x = 484,240.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.