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Finding the Third Proportional to 211,600 and 287,055

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Solution

The third proportional to 211,600 and 287,055 is: 389,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,600 : 287,055 = 287,055 : x
  2. Step 2: Convert to fraction form
    211,600/287,055 = 287,055/x
  3. Step 3: Cross multiply
    211,600x = 287,055 × 287,055
  4. Step 4: Simplify right side
    211,600x = 82,400,573,025
  5. Step 5: Solve for x
    x = 82,400,573,025/211,600
  6. Step 6: Final answer
    x = 389,416.70

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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.