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Finding the Third Proportional to 210,105 and 449,730

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Solution

The third proportional to 210,105 and 449,730 is: 962,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,105 : 449,730 = 449,730 : x
  2. Step 2: Convert to fraction form
    210,105/449,730 = 449,730/x
  3. Step 3: Cross multiply
    210,105x = 449,730 × 449,730
  4. Step 4: Simplify right side
    210,105x = 202,257,072,900
  5. Step 5: Solve for x
    x = 202,257,072,900/210,105
  6. Step 6: Final answer
    x = 962,647.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.