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Finding the Third Proportional to 210,465 and 447,221.25

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Solution

The third proportional to 210,465 and 447,221.25 is: 950,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,465 : 447,221.25 = 447,221.25 : x
  2. Step 2: Convert to fraction form
    210,465/447,221.25 = 447,221.25/x
  3. Step 3: Cross multiply
    210,465x = 447,221.25 × 447,221.25
  4. Step 4: Simplify right side
    210,465x = 200,006,846,451.56
  5. Step 5: Solve for x
    x = 200,006,846,451.56/210,465
  6. Step 6: Final answer
    x = 950,309.30

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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.