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Finding the Third Proportional to 211,632 and 287,100

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Solution

The third proportional to 211,632 and 287,100 is: 389,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,632 : 287,100 = 287,100 : x
  2. Step 2: Convert to fraction form
    211,632/287,100 = 287,100/x
  3. Step 3: Cross multiply
    211,632x = 287,100 × 287,100
  4. Step 4: Simplify right side
    211,632x = 82,426,410,000
  5. Step 5: Solve for x
    x = 82,426,410,000/211,632
  6. Step 6: Final answer
    x = 389,479.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.