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Finding the Third Proportional to 447,614 and 872,385

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Solution

The third proportional to 447,614 and 872,385 is: 1,700,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,614 : 872,385 = 872,385 : x
  2. Step 2: Convert to fraction form
    447,614/872,385 = 872,385/x
  3. Step 3: Cross multiply
    447,614x = 872,385 × 872,385
  4. Step 4: Simplify right side
    447,614x = 761,055,588,225
  5. Step 5: Solve for x
    x = 761,055,588,225/447,614
  6. Step 6: Final answer
    x = 1,700,249.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.