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Finding the Third Proportional to 211,656 and 288,236

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Solution

The third proportional to 211,656 and 288,236 is: 392,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,656 : 288,236 = 288,236 : x
  2. Step 2: Convert to fraction form
    211,656/288,236 = 288,236/x
  3. Step 3: Cross multiply
    211,656x = 288,236 × 288,236
  4. Step 4: Simplify right side
    211,656x = 83,079,991,696
  5. Step 5: Solve for x
    x = 83,079,991,696/211,656
  6. Step 6: Final answer
    x = 392,523.68

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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.