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Finding the Third Proportional to 210,438 and 447,159

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Solution

The third proportional to 210,438 and 447,159 is: 950,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,438 : 447,159 = 447,159 : x
  2. Step 2: Convert to fraction form
    210,438/447,159 = 447,159/x
  3. Step 3: Cross multiply
    210,438x = 447,159 × 447,159
  4. Step 4: Simplify right side
    210,438x = 199,951,171,281
  5. Step 5: Solve for x
    x = 199,951,171,281/210,438
  6. Step 6: Final answer
    x = 950,166.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.