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Finding the Third Proportional to 211,642 and 288,215

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Solution

The third proportional to 211,642 and 288,215 is: 392,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,642 : 288,215 = 288,215 : x
  2. Step 2: Convert to fraction form
    211,642/288,215 = 288,215/x
  3. Step 3: Cross multiply
    211,642x = 288,215 × 288,215
  4. Step 4: Simplify right side
    211,642x = 83,067,886,225
  5. Step 5: Solve for x
    x = 83,067,886,225/211,642
  6. Step 6: Final answer
    x = 392,492.45

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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.