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Finding the Third Proportional to 211,446 and 287,028

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Solution

The third proportional to 211,446 and 287,028 is: 389,627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,446 : 287,028 = 287,028 : x
  2. Step 2: Convert to fraction form
    211,446/287,028 = 287,028/x
  3. Step 3: Cross multiply
    211,446x = 287,028 × 287,028
  4. Step 4: Simplify right side
    211,446x = 82,385,072,784
  5. Step 5: Solve for x
    x = 82,385,072,784/211,446
  6. Step 6: Final answer
    x = 389,627.01

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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.