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Finding the Third Proportional to 212,720 and 329,336

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Solution

The third proportional to 212,720 and 329,336 is: 509,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,720 : 329,336 = 329,336 : x
  2. Step 2: Convert to fraction form
    212,720/329,336 = 329,336/x
  3. Step 3: Cross multiply
    212,720x = 329,336 × 329,336
  4. Step 4: Simplify right side
    212,720x = 108,462,200,896
  5. Step 5: Solve for x
    x = 108,462,200,896/212,720
  6. Step 6: Final answer
    x = 509,882.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.