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Finding the Third Proportional to 452,385 and 689,193

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Solution

The third proportional to 452,385 and 689,193 is: 1,049,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,385 : 689,193 = 689,193 : x
  2. Step 2: Convert to fraction form
    452,385/689,193 = 689,193/x
  3. Step 3: Cross multiply
    452,385x = 689,193 × 689,193
  4. Step 4: Simplify right side
    452,385x = 474,986,991,249
  5. Step 5: Solve for x
    x = 474,986,991,249/452,385
  6. Step 6: Final answer
    x = 1,049,961.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.