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Finding the Third Proportional to 288,398 and 621,171

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Solution

The third proportional to 288,398 and 621,171 is: 1,337,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,398 : 621,171 = 621,171 : x
  2. Step 2: Convert to fraction form
    288,398/621,171 = 621,171/x
  3. Step 3: Cross multiply
    288,398x = 621,171 × 621,171
  4. Step 4: Simplify right side
    288,398x = 385,853,411,241
  5. Step 5: Solve for x
    x = 385,853,411,241/288,398
  6. Step 6: Final answer
    x = 1,337,919.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.