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Finding the Third Proportional to 103,732 and 211,271

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Solution

The third proportional to 103,732 and 211,271 is: 430,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,732 : 211,271 = 211,271 : x
  2. Step 2: Convert to fraction form
    103,732/211,271 = 211,271/x
  3. Step 3: Cross multiply
    103,732x = 211,271 × 211,271
  4. Step 4: Simplify right side
    103,732x = 44,635,435,441
  5. Step 5: Solve for x
    x = 44,635,435,441/103,732
  6. Step 6: Final answer
    x = 430,295.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.