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Finding the Third Proportional to 211,640 and 288,212

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Solution

The third proportional to 211,640 and 288,212 is: 392,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,640 : 288,212 = 288,212 : x
  2. Step 2: Convert to fraction form
    211,640/288,212 = 288,212/x
  3. Step 3: Cross multiply
    211,640x = 288,212 × 288,212
  4. Step 4: Simplify right side
    211,640x = 83,066,156,944
  5. Step 5: Solve for x
    x = 83,066,156,944/211,640
  6. Step 6: Final answer
    x = 392,487.98

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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.